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Finding the Fourth Proportional to 409,679.20, 614,518.80 and 367,688.80

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Solution

The fourth proportional to 409,679.20, 614,518.80 and 367,688.80 is: 551,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,679.20 : 614,518.80 = 367,688.80 : x
  2. Step 2: Convert to fraction form
    409,679.20/614,518.80 = 367,688.80/x
  3. Step 3: Cross multiply
    409,679.20x = 614,518.80 × 367,688.80
  4. Step 4: Simplify right side
    409,679.20x = 225,951,680,149.44
  5. Step 5: Solve for x
    x = 225,951,680,149.44/409,679.20
  6. Step 6: Final answer
    x = 551,533.20

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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.