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Finding the Fourth Proportional to 257,809.74, 355,820.19 and 150,379.80

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Solution

The fourth proportional to 257,809.74, 355,820.19 and 150,379.80 is: 207,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,809.74 : 355,820.19 = 150,379.80 : x
  2. Step 2: Convert to fraction form
    257,809.74/355,820.19 = 150,379.80/x
  3. Step 3: Cross multiply
    257,809.74x = 355,820.19 × 150,379.80
  4. Step 4: Simplify right side
    257,809.74x = 53,508,169,008.16
  5. Step 5: Solve for x
    x = 53,508,169,008.16/257,809.74
  6. Step 6: Final answer
    x = 207,549.06

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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.