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Finding the Fourth Proportional to 485,068.70, 727,603.05 and 408,086.30

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Solution

The fourth proportional to 485,068.70, 727,603.05 and 408,086.30 is: 612,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,068.70 : 727,603.05 = 408,086.30 : x
  2. Step 2: Convert to fraction form
    485,068.70/727,603.05 = 408,086.30/x
  3. Step 3: Cross multiply
    485,068.70x = 727,603.05 × 408,086.30
  4. Step 4: Simplify right side
    485,068.70x = 296,924,836,543.22
  5. Step 5: Solve for x
    x = 296,924,836,543.22/485,068.70
  6. Step 6: Final answer
    x = 612,129.45

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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.