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Finding the Fourth Proportional to 514,371.18, 709,807.53 and 284,912.97

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Solution

The fourth proportional to 514,371.18, 709,807.53 and 284,912.97 is: 393,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,371.18 : 709,807.53 = 284,912.97 : x
  2. Step 2: Convert to fraction form
    514,371.18/709,807.53 = 284,912.97/x
  3. Step 3: Cross multiply
    514,371.18x = 709,807.53 × 284,912.97
  4. Step 4: Simplify right side
    514,371.18x = 202,233,371,500.66
  5. Step 5: Solve for x
    x = 202,233,371,500.66/514,371.18
  6. Step 6: Final answer
    x = 393,166.22

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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.