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Finding the Fourth Proportional to 409,659.40, 614,489.10 and 389,384.20

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Solution

The fourth proportional to 409,659.40, 614,489.10 and 389,384.20 is: 584,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,659.40 : 614,489.10 = 389,384.20 : x
  2. Step 2: Convert to fraction form
    409,659.40/614,489.10 = 389,384.20/x
  3. Step 3: Cross multiply
    409,659.40x = 614,489.10 × 389,384.20
  4. Step 4: Simplify right side
    409,659.40x = 239,272,346,612.22
  5. Step 5: Solve for x
    x = 239,272,346,612.22/409,659.40
  6. Step 6: Final answer
    x = 584,076.30

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Similar ratio
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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.