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Finding the Fourth Proportional to 462,308.78, 638,031.40 and 281,007.02

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Solution

The fourth proportional to 462,308.78, 638,031.40 and 281,007.02 is: 387,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,308.78 : 638,031.40 = 281,007.02 : x
  2. Step 2: Convert to fraction form
    462,308.78/638,031.40 = 281,007.02/x
  3. Step 3: Cross multiply
    462,308.78x = 638,031.40 × 281,007.02
  4. Step 4: Simplify right side
    462,308.78x = 179,291,302,380.43
  5. Step 5: Solve for x
    x = 179,291,302,380.43/462,308.78
  6. Step 6: Final answer
    x = 387,817.21

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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.