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Finding the Fourth Proportional to 485,244.60, 727,964.10 and 406,901.40

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Solution

The fourth proportional to 485,244.60, 727,964.10 and 406,901.40 is: 610,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,244.60 : 727,964.10 = 406,901.40 : x
  2. Step 2: Convert to fraction form
    485,244.60/727,964.10 = 406,901.40/x
  3. Step 3: Cross multiply
    485,244.60x = 727,964.10 × 406,901.40
  4. Step 4: Simplify right side
    485,244.60x = 296,209,611,439.74
  5. Step 5: Solve for x
    x = 296,209,611,439.74/485,244.60
  6. Step 6: Final answer
    x = 610,433.61

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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.