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Finding the Fourth Proportional to 429,744.26, 643,730.65 and 251,711.53

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Solution

The fourth proportional to 429,744.26, 643,730.65 and 251,711.53 is: 377,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,744.26 : 643,730.65 = 251,711.53 : x
  2. Step 2: Convert to fraction form
    429,744.26/643,730.65 = 251,711.53/x
  3. Step 3: Cross multiply
    429,744.26x = 643,730.65 × 251,711.53
  4. Step 4: Simplify right side
    429,744.26x = 162,034,426,819.40
  5. Step 5: Solve for x
    x = 162,034,426,819.40/429,744.26
  6. Step 6: Final answer
    x = 377,048.50

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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.