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Finding the Fourth Proportional to 488,406.40, 732,498.72 and 172,863.16

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Solution

The fourth proportional to 488,406.40, 732,498.72 and 172,863.16 is: 259,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,406.40 : 732,498.72 = 172,863.16 : x
  2. Step 2: Convert to fraction form
    488,406.40/732,498.72 = 172,863.16/x
  3. Step 3: Cross multiply
    488,406.40x = 732,498.72 × 172,863.16
  4. Step 4: Simplify right side
    488,406.40x = 126,622,043,435.16
  5. Step 5: Solve for x
    x = 126,622,043,435.16/488,406.40
  6. Step 6: Final answer
    x = 259,255.50

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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.