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Finding the Fourth Proportional to 429,743.76, 643,729.91 and 251,711.03

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Solution

The fourth proportional to 429,743.76, 643,729.91 and 251,711.03 is: 377,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,743.76 : 643,729.91 = 251,711.03 : x
  2. Step 2: Convert to fraction form
    429,743.76/643,729.91 = 251,711.03/x
  3. Step 3: Cross multiply
    429,743.76x = 643,729.91 × 251,711.03
  4. Step 4: Simplify right side
    429,743.76x = 162,033,914,210.70
  5. Step 5: Solve for x
    x = 162,033,914,210.70/429,743.76
  6. Step 6: Final answer
    x = 377,047.74

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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.