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Finding the Fourth Proportional to 265,206.48, 397,672.08 and 130,211.20

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Solution

The fourth proportional to 265,206.48, 397,672.08 and 130,211.20 is: 195,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,206.48 : 397,672.08 = 130,211.20 : x
  2. Step 2: Convert to fraction form
    265,206.48/397,672.08 = 130,211.20/x
  3. Step 3: Cross multiply
    265,206.48x = 397,672.08 × 130,211.20
  4. Step 4: Simplify right side
    265,206.48x = 51,781,358,743.30
  5. Step 5: Solve for x
    x = 51,781,358,743.30/265,206.48
  6. Step 6: Final answer
    x = 195,249.22

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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.