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Finding the Fourth Proportional to 362,887.80, 543,165.30 and 257,911.80

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Solution

The fourth proportional to 362,887.80, 543,165.30 and 257,911.80 is: 386,038.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,887.80 : 543,165.30 = 257,911.80 : x
  2. Step 2: Convert to fraction form
    362,887.80/543,165.30 = 257,911.80/x
  3. Step 3: Cross multiply
    362,887.80x = 543,165.30 × 257,911.80
  4. Step 4: Simplify right side
    362,887.80x = 140,088,740,220.54
  5. Step 5: Solve for x
    x = 140,088,740,220.54/362,887.80
  6. Step 6: Final answer
    x = 386,038.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.