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Finding the Fourth Proportional to 485,427.40, 727,622.70 and 185,792.20

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Solution

The fourth proportional to 485,427.40, 727,622.70 and 185,792.20 is: 278,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,427.40 : 727,622.70 = 185,792.20 : x
  2. Step 2: Convert to fraction form
    485,427.40/727,622.70 = 185,792.20/x
  3. Step 3: Cross multiply
    485,427.40x = 727,622.70 × 185,792.20
  4. Step 4: Simplify right side
    485,427.40x = 135,186,622,202.94
  5. Step 5: Solve for x
    x = 135,186,622,202.94/485,427.40
  6. Step 6: Final answer
    x = 278,489.89

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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.