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Finding the Fourth Proportional to 314,732.70, 472,295.88 and 127,744.20

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Solution

The fourth proportional to 314,732.70, 472,295.88 and 127,744.20 is: 191,696.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,732.70 : 472,295.88 = 127,744.20 : x
  2. Step 2: Convert to fraction form
    314,732.70/472,295.88 = 127,744.20/x
  3. Step 3: Cross multiply
    314,732.70x = 472,295.88 × 127,744.20
  4. Step 4: Simplify right side
    314,732.70x = 60,333,059,353.90
  5. Step 5: Solve for x
    x = 60,333,059,353.90/314,732.70
  6. Step 6: Final answer
    x = 191,696.19

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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.