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Finding the Fourth Proportional to 429,497.40, 644,902.20 and 329,770.20

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Solution

The fourth proportional to 429,497.40, 644,902.20 and 329,770.20 is: 495,159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,497.40 : 644,902.20 = 329,770.20 : x
  2. Step 2: Convert to fraction form
    429,497.40/644,902.20 = 329,770.20/x
  3. Step 3: Cross multiply
    429,497.40x = 644,902.20 × 329,770.20
  4. Step 4: Simplify right side
    429,497.40x = 212,669,527,474.44
  5. Step 5: Solve for x
    x = 212,669,527,474.44/429,497.40
  6. Step 6: Final answer
    x = 495,159.06

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1.5x scale

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.