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Finding the Fourth Proportional to 462,308.28, 638,030.70 and 281,006.52

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Solution

The fourth proportional to 462,308.28, 638,030.70 and 281,006.52 is: 387,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,308.28 : 638,030.70 = 281,006.52 : x
  2. Step 2: Convert to fraction form
    462,308.28/638,030.70 = 281,006.52/x
  3. Step 3: Cross multiply
    462,308.28x = 638,030.70 × 281,006.52
  4. Step 4: Simplify right side
    462,308.28x = 179,290,786,660.16
  5. Step 5: Solve for x
    x = 179,290,786,660.16/462,308.28
  6. Step 6: Final answer
    x = 387,816.52

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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.