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Finding the Fourth Proportional to 414,652.78, 572,397.39 and 278,765.54

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Solution

The fourth proportional to 414,652.78, 572,397.39 and 278,765.54 is: 384,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,652.78 : 572,397.39 = 278,765.54 : x
  2. Step 2: Convert to fraction form
    414,652.78/572,397.39 = 278,765.54/x
  3. Step 3: Cross multiply
    414,652.78x = 572,397.39 × 278,765.54
  4. Step 4: Simplify right side
    414,652.78x = 159,564,667,517.94
  5. Step 5: Solve for x
    x = 159,564,667,517.94/414,652.78
  6. Step 6: Final answer
    x = 384,815.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.