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Finding the Fourth Proportional to 409,893.46, 614,661.62 and 217,725.83

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Solution

The fourth proportional to 409,893.46, 614,661.62 and 217,725.83 is: 326,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.46 : 614,661.62 = 217,725.83 : x
  2. Step 2: Convert to fraction form
    409,893.46/614,661.62 = 217,725.83/x
  3. Step 3: Cross multiply
    409,893.46x = 614,661.62 × 217,725.83
  4. Step 4: Simplify right side
    409,893.46x = 133,827,711,111.49
  5. Step 5: Solve for x
    x = 133,827,711,111.49/409,893.46
  6. Step 6: Final answer
    x = 326,493.90

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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.