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Finding the Fourth Proportional to 427,591.61, 640,109.61 and 258,600.75

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Solution

The fourth proportional to 427,591.61, 640,109.61 and 258,600.75 is: 387,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,591.61 : 640,109.61 = 258,600.75 : x
  2. Step 2: Convert to fraction form
    427,591.61/640,109.61 = 258,600.75/x
  3. Step 3: Cross multiply
    427,591.61x = 640,109.61 × 258,600.75
  4. Step 4: Simplify right side
    427,591.61x = 165,532,827,155.73
  5. Step 5: Solve for x
    x = 165,532,827,155.73/427,591.61
  6. Step 6: Final answer
    x = 387,128.33

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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.