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Finding the Fourth Proportional to 429,721.40, 644,429.67 and 126,031.19

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Solution

The fourth proportional to 429,721.40, 644,429.67 and 126,031.19 is: 189,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,721.40 : 644,429.67 = 126,031.19 : x
  2. Step 2: Convert to fraction form
    429,721.40/644,429.67 = 126,031.19/x
  3. Step 3: Cross multiply
    429,721.40x = 644,429.67 × 126,031.19
  4. Step 4: Simplify right side
    429,721.40x = 81,218,238,820.48
  5. Step 5: Solve for x
    x = 81,218,238,820.48/429,721.40
  6. Step 6: Final answer
    x = 189,002.08

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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.