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Finding the Fourth Proportional to 329,432.40, 493,055.10 and 239,218.65

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Solution

The fourth proportional to 329,432.40, 493,055.10 and 239,218.65 is: 358,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,432.40 : 493,055.10 = 239,218.65 : x
  2. Step 2: Convert to fraction form
    329,432.40/493,055.10 = 239,218.65/x
  3. Step 3: Cross multiply
    329,432.40x = 493,055.10 × 239,218.65
  4. Step 4: Simplify right side
    329,432.40x = 117,947,975,397.62
  5. Step 5: Solve for x
    x = 117,947,975,397.62/329,432.40
  6. Step 6: Final answer
    x = 358,033.93

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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.