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Finding the Fourth Proportional to 463,830.39, 639,803.03 and 306,665.78

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Solution

The fourth proportional to 463,830.39, 639,803.03 and 306,665.78 is: 423,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,830.39 : 639,803.03 = 306,665.78 : x
  2. Step 2: Convert to fraction form
    463,830.39/639,803.03 = 306,665.78/x
  3. Step 3: Cross multiply
    463,830.39x = 639,803.03 × 306,665.78
  4. Step 4: Simplify right side
    463,830.39x = 196,205,690,508.97
  5. Step 5: Solve for x
    x = 196,205,690,508.97/463,830.39
  6. Step 6: Final answer
    x = 423,011.72

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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.