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Finding the Fourth Proportional to 409,961.40, 614,796.30 and 185,429.40

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Solution

The fourth proportional to 409,961.40, 614,796.30 and 185,429.40 is: 278,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,961.40 : 614,796.30 = 185,429.40 : x
  2. Step 2: Convert to fraction form
    409,961.40/614,796.30 = 185,429.40/x
  3. Step 3: Cross multiply
    409,961.40x = 614,796.30 × 185,429.40
  4. Step 4: Simplify right side
    409,961.40x = 114,001,309,031.22
  5. Step 5: Solve for x
    x = 114,001,309,031.22/409,961.40
  6. Step 6: Final answer
    x = 278,078.15

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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.