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Finding the Fourth Proportional to 471,258, 650,331 and 280,267.20

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Solution

The fourth proportional to 471,258, 650,331 and 280,267.20 is: 386,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,258 : 650,331 = 280,267.20 : x
  2. Step 2: Convert to fraction form
    471,258/650,331 = 280,267.20/x
  3. Step 3: Cross multiply
    471,258x = 650,331 × 280,267.20
  4. Step 4: Simplify right side
    471,258x = 182,266,448,443.20
  5. Step 5: Solve for x
    x = 182,266,448,443.20/471,258
  6. Step 6: Final answer
    x = 386,765.74

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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.