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Finding the Fourth Proportional to 410,199.16, 615,295.98 and 220,748.66

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Solution

The fourth proportional to 410,199.16, 615,295.98 and 220,748.66 is: 331,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.16 : 615,295.98 = 220,748.66 : x
  2. Step 2: Convert to fraction form
    410,199.16/615,295.98 = 220,748.66/x
  3. Step 3: Cross multiply
    410,199.16x = 615,295.98 × 220,748.66
  4. Step 4: Simplify right side
    410,199.16x = 135,825,763,088.39
  5. Step 5: Solve for x
    x = 135,825,763,088.39/410,199.16
  6. Step 6: Final answer
    x = 331,121.50

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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.