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Finding the Fourth Proportional to 509,535.30, 703,167.45 and 280,102.25

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Solution

The fourth proportional to 509,535.30, 703,167.45 and 280,102.25 is: 386,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,535.30 : 703,167.45 = 280,102.25 : x
  2. Step 2: Convert to fraction form
    509,535.30/703,167.45 = 280,102.25/x
  3. Step 3: Cross multiply
    509,535.30x = 703,167.45 × 280,102.25
  4. Step 4: Simplify right side
    509,535.30x = 196,958,784,871.76
  5. Step 5: Solve for x
    x = 196,958,784,871.76/509,535.30
  6. Step 6: Final answer
    x = 386,545.91

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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.