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Finding the Fourth Proportional to 488,411.20, 732,616.80 and 172,827.10

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Solution

The fourth proportional to 488,411.20, 732,616.80 and 172,827.10 is: 259,240.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,411.20 : 732,616.80 = 172,827.10 : x
  2. Step 2: Convert to fraction form
    488,411.20/732,616.80 = 172,827.10/x
  3. Step 3: Cross multiply
    488,411.20x = 732,616.80 × 172,827.10
  4. Step 4: Simplify right side
    488,411.20x = 126,616,036,955.28
  5. Step 5: Solve for x
    x = 126,616,036,955.28/488,411.20
  6. Step 6: Final answer
    x = 259,240.65

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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.