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Finding the Fourth Proportional to 329,745, 494,285.16 and 129,988.08

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Solution

The fourth proportional to 329,745, 494,285.16 and 129,988.08 is: 194,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,745 : 494,285.16 = 129,988.08 : x
  2. Step 2: Convert to fraction form
    329,745/494,285.16 = 129,988.08/x
  3. Step 3: Cross multiply
    329,745x = 494,285.16 × 129,988.08
  4. Step 4: Simplify right side
    329,745x = 64,251,178,920.89
  5. Step 5: Solve for x
    x = 64,251,178,920.89/329,745
  6. Step 6: Final answer
    x = 194,851.11

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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.