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Finding the Fourth Proportional to 412,752.92, 619,129.51 and 272,478.74

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Solution

The fourth proportional to 412,752.92, 619,129.51 and 272,478.74 is: 408,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,752.92 : 619,129.51 = 272,478.74 : x
  2. Step 2: Convert to fraction form
    412,752.92/619,129.51 = 272,478.74/x
  3. Step 3: Cross multiply
    412,752.92x = 619,129.51 × 272,478.74
  4. Step 4: Simplify right side
    412,752.92x = 168,699,625,004.77
  5. Step 5: Solve for x
    x = 168,699,625,004.77/412,752.92
  6. Step 6: Final answer
    x = 408,718.19

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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.