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Finding the Fourth Proportional to 265,912.60, 398,331.30 and 165,765.40

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Solution

The fourth proportional to 265,912.60, 398,331.30 and 165,765.40 is: 248,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,912.60 : 398,331.30 = 165,765.40 : x
  2. Step 2: Convert to fraction form
    265,912.60/398,331.30 = 165,765.40/x
  3. Step 3: Cross multiply
    265,912.60x = 398,331.30 × 165,765.40
  4. Step 4: Simplify right side
    265,912.60x = 66,029,547,277.02
  5. Step 5: Solve for x
    x = 66,029,547,277.02/265,912.60
  6. Step 6: Final answer
    x = 248,312.97

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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.