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Finding the Fourth Proportional to 409,665.40, 614,498.10 and 267,947.80

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Solution

The fourth proportional to 409,665.40, 614,498.10 and 267,947.80 is: 401,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,665.40 : 614,498.10 = 267,947.80 : x
  2. Step 2: Convert to fraction form
    409,665.40/614,498.10 = 267,947.80/x
  3. Step 3: Cross multiply
    409,665.40x = 614,498.10 × 267,947.80
  4. Step 4: Simplify right side
    409,665.40x = 164,653,413,999.18
  5. Step 5: Solve for x
    x = 164,653,413,999.18/409,665.40
  6. Step 6: Final answer
    x = 401,921.70

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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.