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Finding the Fourth Proportional to 315,154.35, 472,659.44 and 90,513

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Solution

The fourth proportional to 315,154.35, 472,659.44 and 90,513 is: 135,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,154.35 : 472,659.44 = 90,513 : x
  2. Step 2: Convert to fraction form
    315,154.35/472,659.44 = 90,513/x
  3. Step 3: Cross multiply
    315,154.35x = 472,659.44 × 90,513
  4. Step 4: Simplify right side
    315,154.35x = 42,781,823,440.16
  5. Step 5: Solve for x
    x = 42,781,823,440.16/315,154.35
  6. Step 6: Final answer
    x = 135,748.80

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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.