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Finding the Fourth Proportional to 257,714,625,978.43, 355,657,206,679.62 and 143,529,228,661.65

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Solution

The fourth proportional to 257,714,625,978.43, 355,657,206,679.62 and 143,529,228,661.65 is: 198,076,474,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,714,625,978.43 : 355,657,206,679.62 = 143,529,228,661.65 : x
  2. Step 2: Convert to fraction form
    257,714,625,978.43/355,657,206,679.62 = 143,529,228,661.65/x
  3. Step 3: Cross multiply
    257,714,625,978.43x = 355,657,206,679.62 × 143,529,228,661.65
  4. Step 4: Simplify right side
    257,714,625,978.43x = 51,047,204,542,682,893,385,728
  5. Step 5: Solve for x
    x = 51,047,204,542,682,893,385,728/257,714,625,978.43
  6. Step 6: Final answer
    x = 198,076,474,506.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.