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Finding the Fourth Proportional to 409,985.40, 614,978.10 and 269,902.20

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Solution

The fourth proportional to 409,985.40, 614,978.10 and 269,902.20 is: 404,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,985.40 : 614,978.10 = 269,902.20 : x
  2. Step 2: Convert to fraction form
    409,985.40/614,978.10 = 269,902.20/x
  3. Step 3: Cross multiply
    409,985.40x = 614,978.10 × 269,902.20
  4. Step 4: Simplify right side
    409,985.40x = 165,983,942,141.82
  5. Step 5: Solve for x
    x = 165,983,942,141.82/409,985.40
  6. Step 6: Final answer
    x = 404,853.30

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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.