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Finding the Fourth Proportional to 261,066.60, 391,340.70 and 120,580.20

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Solution

The fourth proportional to 261,066.60, 391,340.70 and 120,580.20 is: 180,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,066.60 : 391,340.70 = 120,580.20 : x
  2. Step 2: Convert to fraction form
    261,066.60/391,340.70 = 120,580.20/x
  3. Step 3: Cross multiply
    261,066.60x = 391,340.70 × 120,580.20
  4. Step 4: Simplify right side
    261,066.60x = 47,187,939,874.14
  5. Step 5: Solve for x
    x = 47,187,939,874.14/261,066.60
  6. Step 6: Final answer
    x = 180,750.58

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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.