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Finding the Fourth Proportional to 485,319.20, 728,000.40 and 165,466.40

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Solution

The fourth proportional to 485,319.20, 728,000.40 and 165,466.40 is: 248,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,319.20 : 728,000.40 = 165,466.40 : x
  2. Step 2: Convert to fraction form
    485,319.20/728,000.40 = 165,466.40/x
  3. Step 3: Cross multiply
    485,319.20x = 728,000.40 × 165,466.40
  4. Step 4: Simplify right side
    485,319.20x = 120,459,605,386.56
  5. Step 5: Solve for x
    x = 120,459,605,386.56/485,319.20
  6. Step 6: Final answer
    x = 248,206.96

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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.