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Finding the Fourth Proportional to 514,433.47, 709,910.52 and 284,990.28

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Solution

The fourth proportional to 514,433.47, 709,910.52 and 284,990.28 is: 393,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,433.47 : 709,910.52 = 284,990.28 : x
  2. Step 2: Convert to fraction form
    514,433.47/709,910.52 = 284,990.28/x
  3. Step 3: Cross multiply
    514,433.47x = 709,910.52 × 284,990.28
  4. Step 4: Simplify right side
    514,433.47x = 202,317,597,869.75
  5. Step 5: Solve for x
    x = 202,317,597,869.75/514,433.47
  6. Step 6: Final answer
    x = 393,282.34

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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.