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Finding the Fourth Proportional to 429,704.20, 644,786.70 and 180,411.40

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Solution

The fourth proportional to 429,704.20, 644,786.70 and 180,411.40 is: 270,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,704.20 : 644,786.70 = 180,411.40 : x
  2. Step 2: Convert to fraction form
    429,704.20/644,786.70 = 180,411.40/x
  3. Step 3: Cross multiply
    429,704.20x = 644,786.70 × 180,411.40
  4. Step 4: Simplify right side
    429,704.20x = 116,326,871,248.38
  5. Step 5: Solve for x
    x = 116,326,871,248.38/429,704.20
  6. Step 6: Final answer
    x = 270,713.83

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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.