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Finding the Fourth Proportional to 429,339.52, 644,304.55 and 148,856.78

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Solution

The fourth proportional to 429,339.52, 644,304.55 and 148,856.78 is: 223,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,339.52 : 644,304.55 = 148,856.78 : x
  2. Step 2: Convert to fraction form
    429,339.52/644,304.55 = 148,856.78/x
  3. Step 3: Cross multiply
    429,339.52x = 644,304.55 × 148,856.78
  4. Step 4: Simplify right side
    429,339.52x = 95,909,100,652.35
  5. Step 5: Solve for x
    x = 95,909,100,652.35/429,339.52
  6. Step 6: Final answer
    x = 223,387.54

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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.