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Finding the Fourth Proportional to 429,633.88, 644,746.67 and 149,151.13

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Solution

The fourth proportional to 429,633.88, 644,746.67 and 149,151.13 is: 223,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,633.88 : 644,746.67 = 149,151.13 : x
  2. Step 2: Convert to fraction form
    429,633.88/644,746.67 = 149,151.13/x
  3. Step 3: Cross multiply
    429,633.88x = 644,746.67 × 149,151.13
  4. Step 4: Simplify right side
    429,633.88x = 96,164,694,394.24
  5. Step 5: Solve for x
    x = 96,164,694,394.24/429,633.88
  6. Step 6: Final answer
    x = 223,829.40

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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.