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Finding the Fourth Proportional to 270,053.20, 405,079.80 and 217,565.20

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Solution

The fourth proportional to 270,053.20, 405,079.80 and 217,565.20 is: 326,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,053.20 : 405,079.80 = 217,565.20 : x
  2. Step 2: Convert to fraction form
    270,053.20/405,079.80 = 217,565.20/x
  3. Step 3: Cross multiply
    270,053.20x = 405,079.80 × 217,565.20
  4. Step 4: Simplify right side
    270,053.20x = 88,131,267,702.96
  5. Step 5: Solve for x
    x = 88,131,267,702.96/270,053.20
  6. Step 6: Final answer
    x = 326,347.80

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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.