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Finding the Fourth Proportional to 429,642.90, 644,760.18 and 149,160.14

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Solution

The fourth proportional to 429,642.90, 644,760.18 and 149,160.14 is: 223,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,642.90 : 644,760.18 = 149,160.14 : x
  2. Step 2: Convert to fraction form
    429,642.90/644,760.18 = 149,160.14/x
  3. Step 3: Cross multiply
    429,642.90x = 644,760.18 × 149,160.14
  4. Step 4: Simplify right side
    429,642.90x = 96,172,518,715.23
  5. Step 5: Solve for x
    x = 96,172,518,715.23/429,642.90
  6. Step 6: Final answer
    x = 223,842.91

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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.