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Finding the Fourth Proportional to 409,730.56, 614,615.28 and 199,117.60

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Solution

The fourth proportional to 409,730.56, 614,615.28 and 199,117.60 is: 298,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,730.56 : 614,615.28 = 199,117.60 : x
  2. Step 2: Convert to fraction form
    409,730.56/614,615.28 = 199,117.60/x
  3. Step 3: Cross multiply
    409,730.56x = 614,615.28 × 199,117.60
  4. Step 4: Simplify right side
    409,730.56x = 122,380,719,476.93
  5. Step 5: Solve for x
    x = 122,380,719,476.93/409,730.56
  6. Step 6: Final answer
    x = 298,685.85

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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.