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Finding the Fourth Proportional to 430,101.90, 644,265.90 and 252,069.30

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Solution

The fourth proportional to 430,101.90, 644,265.90 and 252,069.30 is: 377,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,101.90 : 644,265.90 = 252,069.30 : x
  2. Step 2: Convert to fraction form
    430,101.90/644,265.90 = 252,069.30/x
  3. Step 3: Cross multiply
    430,101.90x = 644,265.90 × 252,069.30
  4. Step 4: Simplify right side
    430,101.90x = 162,399,654,426.87
  5. Step 5: Solve for x
    x = 162,399,654,426.87/430,101.90
  6. Step 6: Final answer
    x = 377,584.14

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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.