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Finding the Fourth Proportional to 485,215.20, 727,822.80 and 438,559.20

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Solution

The fourth proportional to 485,215.20, 727,822.80 and 438,559.20 is: 657,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,215.20 : 727,822.80 = 438,559.20 : x
  2. Step 2: Convert to fraction form
    485,215.20/727,822.80 = 438,559.20/x
  3. Step 3: Cross multiply
    485,215.20x = 727,822.80 × 438,559.20
  4. Step 4: Simplify right side
    485,215.20x = 319,193,384,909.76
  5. Step 5: Solve for x
    x = 319,193,384,909.76/485,215.20
  6. Step 6: Final answer
    x = 657,838.80

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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.