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Finding the Fourth Proportional to 315,011.38, 472,518.78 and 78,354.06

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Solution

The fourth proportional to 315,011.38, 472,518.78 and 78,354.06 is: 117,531.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,011.38 : 472,518.78 = 78,354.06 : x
  2. Step 2: Convert to fraction form
    315,011.38/472,518.78 = 78,354.06/x
  3. Step 3: Cross multiply
    315,011.38x = 472,518.78 × 78,354.06
  4. Step 4: Simplify right side
    315,011.38x = 37,023,764,212.62
  5. Step 5: Solve for x
    x = 37,023,764,212.62/315,011.38
  6. Step 6: Final answer
    x = 117,531.51

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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.