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Finding the Fourth Proportional to 315,845.64, 473,997 and 123,748.74

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Solution

The fourth proportional to 315,845.64, 473,997 and 123,748.74 is: 185,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,845.64 : 473,997 = 123,748.74 : x
  2. Step 2: Convert to fraction form
    315,845.64/473,997 = 123,748.74/x
  3. Step 3: Cross multiply
    315,845.64x = 473,997 × 123,748.74
  4. Step 4: Simplify right side
    315,845.64x = 58,656,531,513.78
  5. Step 5: Solve for x
    x = 58,656,531,513.78/315,845.64
  6. Step 6: Final answer
    x = 185,712.65

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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.