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Finding the Fourth Proportional to 423,809.76, 584,756.64 and 240,049.92

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Solution

The fourth proportional to 423,809.76, 584,756.64 and 240,049.92 is: 331,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,809.76 : 584,756.64 = 240,049.92 : x
  2. Step 2: Convert to fraction form
    423,809.76/584,756.64 = 240,049.92/x
  3. Step 3: Cross multiply
    423,809.76x = 584,756.64 × 240,049.92
  4. Step 4: Simplify right side
    423,809.76x = 140,370,784,651.47
  5. Step 5: Solve for x
    x = 140,370,784,651.47/423,809.76
  6. Step 6: Final answer
    x = 331,211.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.