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Finding the Fourth Proportional to 485,222.60, 727,931.10 and 406,879.40

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Solution

The fourth proportional to 485,222.60, 727,931.10 and 406,879.40 is: 610,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,222.60 : 727,931.10 = 406,879.40 : x
  2. Step 2: Convert to fraction form
    485,222.60/727,931.10 = 406,879.40/x
  3. Step 3: Cross multiply
    485,222.60x = 727,931.10 × 406,879.40
  4. Step 4: Simplify right side
    485,222.60x = 296,180,169,209.34
  5. Step 5: Solve for x
    x = 296,180,169,209.34/485,222.60
  6. Step 6: Final answer
    x = 610,400.61

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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.