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Finding the Fourth Proportional to 261,084.60, 391,674.42 and 172,412.28

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Solution

The fourth proportional to 261,084.60, 391,674.42 and 172,412.28 is: 258,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,084.60 : 391,674.42 = 172,412.28 : x
  2. Step 2: Convert to fraction form
    261,084.60/391,674.42 = 172,412.28/x
  3. Step 3: Cross multiply
    261,084.60x = 391,674.42 × 172,412.28
  4. Step 4: Simplify right side
    261,084.60x = 67,529,479,769.88
  5. Step 5: Solve for x
    x = 67,529,479,769.88/261,084.60
  6. Step 6: Final answer
    x = 258,649.80

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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.