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Finding the Fourth Proportional to 329,671.42, 494,710.17 and 129,957.82

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Solution

The fourth proportional to 329,671.42, 494,710.17 and 129,957.82 is: 195,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,671.42 : 494,710.17 = 129,957.82 : x
  2. Step 2: Convert to fraction form
    329,671.42/494,710.17 = 129,957.82/x
  3. Step 3: Cross multiply
    329,671.42x = 494,710.17 × 129,957.82
  4. Step 4: Simplify right side
    329,671.42x = 64,291,455,225.03
  5. Step 5: Solve for x
    x = 64,291,455,225.03/329,671.42
  6. Step 6: Final answer
    x = 195,016.77

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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.