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Finding the Fourth Proportional to 315,010.92, 472,515.47 and 78,353.61

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Solution

The fourth proportional to 315,010.92, 472,515.47 and 78,353.61 is: 117,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,010.92 : 472,515.47 = 78,353.61 : x
  2. Step 2: Convert to fraction form
    315,010.92/472,515.47 = 78,353.61/x
  3. Step 3: Cross multiply
    315,010.92x = 472,515.47 × 78,353.61
  4. Step 4: Simplify right side
    315,010.92x = 37,023,292,463.58
  5. Step 5: Solve for x
    x = 37,023,292,463.58/315,010.92
  6. Step 6: Final answer
    x = 117,530.19

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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.