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Finding the Fourth Proportional to 429,724.80, 644,684.40 and 252,140.40

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Solution

The fourth proportional to 429,724.80, 644,684.40 and 252,140.40 is: 378,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,724.80 : 644,684.40 = 252,140.40 : x
  2. Step 2: Convert to fraction form
    429,724.80/644,684.40 = 252,140.40/x
  3. Step 3: Cross multiply
    429,724.80x = 644,684.40 × 252,140.40
  4. Step 4: Simplify right side
    429,724.80x = 162,550,982,489.76
  5. Step 5: Solve for x
    x = 162,550,982,489.76/429,724.80
  6. Step 6: Final answer
    x = 378,267.63

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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.