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Finding the Fourth Proportional to 463,778.39, 639,868.92 and 259,801.76

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Solution

The fourth proportional to 463,778.39, 639,868.92 and 259,801.76 is: 358,445.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,778.39 : 639,868.92 = 259,801.76 : x
  2. Step 2: Convert to fraction form
    463,778.39/639,868.92 = 259,801.76/x
  3. Step 3: Cross multiply
    463,778.39x = 639,868.92 × 259,801.76
  4. Step 4: Simplify right side
    463,778.39x = 166,239,072,210.72
  5. Step 5: Solve for x
    x = 166,239,072,210.72/463,778.39
  6. Step 6: Final answer
    x = 358,445.06

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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.