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Finding the Fourth Proportional to 409,135.59, 613,787.22 and 172,478.70

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Solution

The fourth proportional to 409,135.59, 613,787.22 and 172,478.70 is: 258,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,135.59 : 613,787.22 = 172,478.70 : x
  2. Step 2: Convert to fraction form
    409,135.59/613,787.22 = 172,478.70/x
  3. Step 3: Cross multiply
    409,135.59x = 613,787.22 × 172,478.70
  4. Step 4: Simplify right side
    409,135.59x = 105,865,221,782.21
  5. Step 5: Solve for x
    x = 105,865,221,782.21/409,135.59
  6. Step 6: Final answer
    x = 258,753.39

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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.