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Finding the Fourth Proportional to 329,032.40, 493,678.20 and 129,318.80

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Solution

The fourth proportional to 329,032.40, 493,678.20 and 129,318.80 is: 194,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032.40 : 493,678.20 = 129,318.80 : x
  2. Step 2: Convert to fraction form
    329,032.40/493,678.20 = 129,318.80/x
  3. Step 3: Cross multiply
    329,032.40x = 493,678.20 × 129,318.80
  4. Step 4: Simplify right side
    329,032.40x = 63,841,872,410.16
  5. Step 5: Solve for x
    x = 63,841,872,410.16/329,032.40
  6. Step 6: Final answer
    x = 194,029.14

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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.