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Finding the Fourth Proportional to 309,428.47, 464,323.64 and 129,498.87

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Solution

The fourth proportional to 309,428.47, 464,323.64 and 129,498.87 is: 194,324.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,428.47 : 464,323.64 = 129,498.87 : x
  2. Step 2: Convert to fraction form
    309,428.47/464,323.64 = 129,498.87/x
  3. Step 3: Cross multiply
    309,428.47x = 464,323.64 × 129,498.87
  4. Step 4: Simplify right side
    309,428.47x = 60,129,386,694.29
  5. Step 5: Solve for x
    x = 60,129,386,694.29/309,428.47
  6. Step 6: Final answer
    x = 194,324.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.