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Finding the Fourth Proportional to 314,934.48, 472,304.82 and 90,234.71

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Solution

The fourth proportional to 314,934.48, 472,304.82 and 90,234.71 is: 135,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,934.48 : 472,304.82 = 90,234.71 : x
  2. Step 2: Convert to fraction form
    314,934.48/472,304.82 = 90,234.71/x
  3. Step 3: Cross multiply
    314,934.48x = 472,304.82 × 90,234.71
  4. Step 4: Simplify right side
    314,934.48x = 42,618,288,212.30
  5. Step 5: Solve for x
    x = 42,618,288,212.30/314,934.48
  6. Step 6: Final answer
    x = 135,324.30

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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.