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Finding the Fourth Proportional to 488,301, 732,456.06 and 172,811.40

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Solution

The fourth proportional to 488,301, 732,456.06 and 172,811.40 is: 259,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,301 : 732,456.06 = 172,811.40 : x
  2. Step 2: Convert to fraction form
    488,301/732,456.06 = 172,811.40/x
  3. Step 3: Cross multiply
    488,301x = 732,456.06 × 172,811.40
  4. Step 4: Simplify right side
    488,301x = 126,576,757,167.08
  5. Step 5: Solve for x
    x = 126,576,757,167.08/488,301
  6. Step 6: Final answer
    x = 259,218.71

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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.