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Finding the Fourth Proportional to 275,864.80, 380,652.60 and 159,574.72

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Solution

The fourth proportional to 275,864.80, 380,652.60 and 159,574.72 is: 220,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,864.80 : 380,652.60 = 159,574.72 : x
  2. Step 2: Convert to fraction form
    275,864.80/380,652.60 = 159,574.72/x
  3. Step 3: Cross multiply
    275,864.80x = 380,652.60 × 159,574.72
  4. Step 4: Simplify right side
    275,864.80x = 60,742,532,062.27
  5. Step 5: Solve for x
    x = 60,742,532,062.27/275,864.80
  6. Step 6: Final answer
    x = 220,189.50

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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.