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Finding the Fourth Proportional to 509,151.69, 763,727.52 and 130,073.25

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Solution

The fourth proportional to 509,151.69, 763,727.52 and 130,073.25 is: 195,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,151.69 : 763,727.52 = 130,073.25 : x
  2. Step 2: Convert to fraction form
    509,151.69/763,727.52 = 130,073.25/x
  3. Step 3: Cross multiply
    509,151.69x = 763,727.52 × 130,073.25
  4. Step 4: Simplify right side
    509,151.69x = 99,340,520,640.84
  5. Step 5: Solve for x
    x = 99,340,520,640.84/509,151.69
  6. Step 6: Final answer
    x = 195,109.87

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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.