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Finding the Fourth Proportional to 488,305, 732,462.06 and 172,815.40

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Solution

The fourth proportional to 488,305, 732,462.06 and 172,815.40 is: 259,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,305 : 732,462.06 = 172,815.40 : x
  2. Step 2: Convert to fraction form
    488,305/732,462.06 = 172,815.40/x
  3. Step 3: Cross multiply
    488,305x = 732,462.06 × 172,815.40
  4. Step 4: Simplify right side
    488,305x = 126,580,723,883.72
  5. Step 5: Solve for x
    x = 126,580,723,883.72/488,305
  6. Step 6: Final answer
    x = 259,224.71

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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.