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Finding the Fourth Proportional to 429,342.27, 644,308.68 and 148,859.52

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Solution

The fourth proportional to 429,342.27, 644,308.68 and 148,859.52 is: 223,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,342.27 : 644,308.68 = 148,859.52 : x
  2. Step 2: Convert to fraction form
    429,342.27/644,308.68 = 148,859.52/x
  3. Step 3: Cross multiply
    429,342.27x = 644,308.68 × 148,859.52
  4. Step 4: Simplify right side
    429,342.27x = 95,911,480,836.63
  5. Step 5: Solve for x
    x = 95,911,480,836.63/429,342.27
  6. Step 6: Final answer
    x = 223,391.66

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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.