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Finding the Fourth Proportional to 409,660.40, 614,490.60 and 389,385.20

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Solution

The fourth proportional to 409,660.40, 614,490.60 and 389,385.20 is: 584,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,660.40 : 614,490.60 = 389,385.20 : x
  2. Step 2: Convert to fraction form
    409,660.40/614,490.60 = 389,385.20/x
  3. Step 3: Cross multiply
    409,660.40x = 614,490.60 × 389,385.20
  4. Step 4: Simplify right side
    409,660.40x = 239,273,545,179.12
  5. Step 5: Solve for x
    x = 239,273,545,179.12/409,660.40
  6. Step 6: Final answer
    x = 584,077.80

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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.