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Finding the Fourth Proportional to 485,431.40, 727,928.40 and 185,812.40

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Solution

The fourth proportional to 485,431.40, 727,928.40 and 185,812.40 is: 278,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,431.40 : 727,928.40 = 185,812.40 : x
  2. Step 2: Convert to fraction form
    485,431.40/727,928.40 = 185,812.40/x
  3. Step 3: Cross multiply
    485,431.40x = 727,928.40 × 185,812.40
  4. Step 4: Simplify right side
    485,431.40x = 135,258,123,032.16
  5. Step 5: Solve for x
    x = 135,258,123,032.16/485,431.40
  6. Step 6: Final answer
    x = 278,634.89

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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.