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Finding the Fourth Proportional to 261,640.60, 391,683.30 and 172,994.20

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Solution

The fourth proportional to 261,640.60, 391,683.30 and 172,994.20 is: 258,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,640.60 : 391,683.30 = 172,994.20 : x
  2. Step 2: Convert to fraction form
    261,640.60/391,683.30 = 172,994.20/x
  3. Step 3: Cross multiply
    261,640.60x = 391,683.30 × 172,994.20
  4. Step 4: Simplify right side
    261,640.60x = 67,758,939,136.86
  5. Step 5: Solve for x
    x = 67,758,939,136.86/261,640.60
  6. Step 6: Final answer
    x = 258,977.16

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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.