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Finding the Fourth Proportional to 263,938.80, 396,005.40 and 106,280.40

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Solution

The fourth proportional to 263,938.80, 396,005.40 and 106,280.40 is: 159,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,938.80 : 396,005.40 = 106,280.40 : x
  2. Step 2: Convert to fraction form
    263,938.80/396,005.40 = 106,280.40/x
  3. Step 3: Cross multiply
    263,938.80x = 396,005.40 × 106,280.40
  4. Step 4: Simplify right side
    263,938.80x = 42,087,612,314.16
  5. Step 5: Solve for x
    x = 42,087,612,314.16/263,938.80
  6. Step 6: Final answer
    x = 159,459.74

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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.