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Finding the Fourth Proportional to 410,429.15, 615,129.75 and 220,422.59

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Solution

The fourth proportional to 410,429.15, 615,129.75 and 220,422.59 is: 330,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,429.15 : 615,129.75 = 220,422.59 : x
  2. Step 2: Convert to fraction form
    410,429.15/615,129.75 = 220,422.59/x
  3. Step 3: Cross multiply
    410,429.15x = 615,129.75 × 220,422.59
  4. Step 4: Simplify right side
    410,429.15x = 135,588,489,605.40
  5. Step 5: Solve for x
    x = 135,588,489,605.40/410,429.15
  6. Step 6: Final answer
    x = 330,357.85

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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.