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Finding the Fourth Proportional to 411,892.40, 617,963.34 and 172,122.68

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Solution

The fourth proportional to 411,892.40, 617,963.34 and 172,122.68 is: 258,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,892.40 : 617,963.34 = 172,122.68 : x
  2. Step 2: Convert to fraction form
    411,892.40/617,963.34 = 172,122.68/x
  3. Step 3: Cross multiply
    411,892.40x = 617,963.34 × 172,122.68
  4. Step 4: Simplify right side
    411,892.40x = 106,365,506,222.55
  5. Step 5: Solve for x
    x = 106,365,506,222.55/411,892.40
  6. Step 6: Final answer
    x = 258,236.15

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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.