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Finding the Fourth Proportional to 419,291.06, 629,034.18 and 119,775.74

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Solution

The fourth proportional to 419,291.06, 629,034.18 and 119,775.74 is: 179,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,291.06 : 629,034.18 = 119,775.74 : x
  2. Step 2: Convert to fraction form
    419,291.06/629,034.18 = 119,775.74/x
  3. Step 3: Cross multiply
    419,291.06x = 629,034.18 × 119,775.74
  4. Step 4: Simplify right side
    419,291.06x = 75,343,034,394.79
  5. Step 5: Solve for x
    x = 75,343,034,394.79/419,291.06
  6. Step 6: Final answer
    x = 179,691.49

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1.5x scale

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.