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Finding the Fourth Proportional to 329,711.70, 494,567.55 and 307,593.30

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Solution

The fourth proportional to 329,711.70, 494,567.55 and 307,593.30 is: 461,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,711.70 : 494,567.55 = 307,593.30 : x
  2. Step 2: Convert to fraction form
    329,711.70/494,567.55 = 307,593.30/x
  3. Step 3: Cross multiply
    329,711.70x = 494,567.55 × 307,593.30
  4. Step 4: Simplify right side
    329,711.70x = 152,125,664,777.42
  5. Step 5: Solve for x
    x = 152,125,664,777.42/329,711.70
  6. Step 6: Final answer
    x = 461,389.95

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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.