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Finding the Fourth Proportional to 514,400.92, 709,857.20 and 284,948.98

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Solution

The fourth proportional to 514,400.92, 709,857.20 and 284,948.98 is: 393,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,400.92 : 709,857.20 = 284,948.98 : x
  2. Step 2: Convert to fraction form
    514,400.92/709,857.20 = 284,948.98/x
  3. Step 3: Cross multiply
    514,400.92x = 709,857.20 × 284,948.98
  4. Step 4: Simplify right side
    514,400.92x = 202,273,085,085.66
  5. Step 5: Solve for x
    x = 202,273,085,085.66/514,400.92
  6. Step 6: Final answer
    x = 393,220.69

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1.5x scale

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.