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Finding the Fourth Proportional to 411,250.71, 616,611.78 and 171,530

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Solution

The fourth proportional to 411,250.71, 616,611.78 and 171,530 is: 257,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,250.71 : 616,611.78 = 171,530 : x
  2. Step 2: Convert to fraction form
    411,250.71/616,611.78 = 171,530/x
  3. Step 3: Cross multiply
    411,250.71x = 616,611.78 × 171,530
  4. Step 4: Simplify right side
    411,250.71x = 105,767,418,623.40
  5. Step 5: Solve for x
    x = 105,767,418,623.40/411,250.71
  6. Step 6: Final answer
    x = 257,184.77

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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.