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Finding the Fourth Proportional to 518,194.31, 777,217.65 and 163,199.10

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Solution

The fourth proportional to 518,194.31, 777,217.65 and 163,199.10 is: 244,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,194.31 : 777,217.65 = 163,199.10 : x
  2. Step 2: Convert to fraction form
    518,194.31/777,217.65 = 163,199.10/x
  3. Step 3: Cross multiply
    518,194.31x = 777,217.65 × 163,199.10
  4. Step 4: Simplify right side
    518,194.31x = 126,841,220,984.12
  5. Step 5: Solve for x
    x = 126,841,220,984.12/518,194.31
  6. Step 6: Final answer
    x = 244,775.40

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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.