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Finding the Fourth Proportional to 429,020.52, 643,502.40 and 176,234.88

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Solution

The fourth proportional to 429,020.52, 643,502.40 and 176,234.88 is: 264,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,020.52 : 643,502.40 = 176,234.88 : x
  2. Step 2: Convert to fraction form
    429,020.52/643,502.40 = 176,234.88/x
  3. Step 3: Cross multiply
    429,020.52x = 643,502.40 × 176,234.88
  4. Step 4: Simplify right side
    429,020.52x = 113,407,568,243.71
  5. Step 5: Solve for x
    x = 113,407,568,243.71/429,020.52
  6. Step 6: Final answer
    x = 264,340.66

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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.