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Finding the Fourth Proportional to 312,463.50, 468,717.12 and 125,475

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Solution

The fourth proportional to 312,463.50, 468,717.12 and 125,475 is: 188,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,463.50 : 468,717.12 = 125,475 : x
  2. Step 2: Convert to fraction form
    312,463.50/468,717.12 = 125,475/x
  3. Step 3: Cross multiply
    312,463.50x = 468,717.12 × 125,475
  4. Step 4: Simplify right side
    312,463.50x = 58,812,280,632
  5. Step 5: Solve for x
    x = 58,812,280,632/312,463.50
  6. Step 6: Final answer
    x = 188,221.28

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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.