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Finding the Fourth Proportional to 488,014.12, 732,080.24 and 172,406.44

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Solution

The fourth proportional to 488,014.12, 732,080.24 and 172,406.44 is: 258,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,014.12 : 732,080.24 = 172,406.44 : x
  2. Step 2: Convert to fraction form
    488,014.12/732,080.24 = 172,406.44/x
  3. Step 3: Cross multiply
    488,014.12x = 732,080.24 × 172,406.44
  4. Step 4: Simplify right side
    488,014.12x = 126,215,347,972.75
  5. Step 5: Solve for x
    x = 126,215,347,972.75/488,014.12
  6. Step 6: Final answer
    x = 258,630.52

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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.