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Finding the Fourth Proportional to 409,575.59, 614,264.97 and 209,793.14

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Solution

The fourth proportional to 409,575.59, 614,264.97 and 209,793.14 is: 314,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,575.59 : 614,264.97 = 209,793.14 : x
  2. Step 2: Convert to fraction form
    409,575.59/614,264.97 = 209,793.14/x
  3. Step 3: Cross multiply
    409,575.59x = 614,264.97 × 209,793.14
  4. Step 4: Simplify right side
    409,575.59x = 128,868,576,848.31
  5. Step 5: Solve for x
    x = 128,868,576,848.31/409,575.59
  6. Step 6: Final answer
    x = 314,639.30

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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.