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Finding the Fourth Proportional to 429,757.25, 644,564.38 and 130,166.60

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Solution

The fourth proportional to 429,757.25, 644,564.38 and 130,166.60 is: 195,228.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,757.25 : 644,564.38 = 130,166.60 : x
  2. Step 2: Convert to fraction form
    429,757.25/644,564.38 = 130,166.60/x
  3. Step 3: Cross multiply
    429,757.25x = 644,564.38 × 130,166.60
  4. Step 4: Simplify right side
    429,757.25x = 83,900,753,825.71
  5. Step 5: Solve for x
    x = 83,900,753,825.71/429,757.25
  6. Step 6: Final answer
    x = 195,228.25

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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.