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Finding the Fourth Proportional to 485,246.76, 727,949.34 and 152,745

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Solution

The fourth proportional to 485,246.76, 727,949.34 and 152,745 is: 229,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,246.76 : 727,949.34 = 152,745 : x
  2. Step 2: Convert to fraction form
    485,246.76/727,949.34 = 152,745/x
  3. Step 3: Cross multiply
    485,246.76x = 727,949.34 × 152,745
  4. Step 4: Simplify right side
    485,246.76x = 111,190,621,938.30
  5. Step 5: Solve for x
    x = 111,190,621,938.30/485,246.76
  6. Step 6: Final answer
    x = 229,142.43

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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.