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Finding the Fourth Proportional to 272,459.78, 408,689.31 and 85,485.86

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Solution

The fourth proportional to 272,459.78, 408,689.31 and 85,485.86 is: 128,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,459.78 : 408,689.31 = 85,485.86 : x
  2. Step 2: Convert to fraction form
    272,459.78/408,689.31 = 85,485.86/x
  3. Step 3: Cross multiply
    272,459.78x = 408,689.31 × 85,485.86
  4. Step 4: Simplify right side
    272,459.78x = 34,937,157,138.16
  5. Step 5: Solve for x
    x = 34,937,157,138.16/272,459.78
  6. Step 6: Final answer
    x = 128,228.68

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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.