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Finding the Fourth Proportional to 487,563.57, 731,214.27 and 171,978.93

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Solution

The fourth proportional to 487,563.57, 731,214.27 and 171,978.93 is: 257,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,563.57 : 731,214.27 = 171,978.93 : x
  2. Step 2: Convert to fraction form
    487,563.57/731,214.27 = 171,978.93/x
  3. Step 3: Cross multiply
    487,563.57x = 731,214.27 × 171,978.93
  4. Step 4: Simplify right side
    487,563.57x = 125,753,447,755.33
  5. Step 5: Solve for x
    x = 125,753,447,755.33/487,563.57
  6. Step 6: Final answer
    x = 257,922.16

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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.