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Finding the Fourth Proportional to 315,154.10, 472,659.06 and 90,512.76

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Solution

The fourth proportional to 315,154.10, 472,659.06 and 90,512.76 is: 135,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,154.10 : 472,659.06 = 90,512.76 : x
  2. Step 2: Convert to fraction form
    315,154.10/472,659.06 = 90,512.76/x
  3. Step 3: Cross multiply
    315,154.10x = 472,659.06 × 90,512.76
  4. Step 4: Simplify right side
    315,154.10x = 42,781,676,059.61
  5. Step 5: Solve for x
    x = 42,781,676,059.61/315,154.10
  6. Step 6: Final answer
    x = 135,748.44

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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.