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Finding the Fourth Proportional to 485,123.40, 727,814.70 and 432,894.60

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Solution

The fourth proportional to 485,123.40, 727,814.70 and 432,894.60 is: 649,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,123.40 : 727,814.70 = 432,894.60 : x
  2. Step 2: Convert to fraction form
    485,123.40/727,814.70 = 432,894.60/x
  3. Step 3: Cross multiply
    485,123.40x = 727,814.70 × 432,894.60
  4. Step 4: Simplify right side
    485,123.40x = 315,067,053,430.62
  5. Step 5: Solve for x
    x = 315,067,053,430.62/485,123.40
  6. Step 6: Final answer
    x = 649,457.55

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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.