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Finding the Fourth Proportional to 315,107.68, 472,668 and 175,753.12

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Solution

The fourth proportional to 315,107.68, 472,668 and 175,753.12 is: 263,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107.68 : 472,668 = 175,753.12 : x
  2. Step 2: Convert to fraction form
    315,107.68/472,668 = 175,753.12/x
  3. Step 3: Cross multiply
    315,107.68x = 472,668 × 175,753.12
  4. Step 4: Simplify right side
    315,107.68x = 83,072,875,724.16
  5. Step 5: Solve for x
    x = 83,072,875,724.16/315,107.68
  6. Step 6: Final answer
    x = 263,633.29

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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.