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Finding the Fourth Proportional to 318,853.38, 478,114.00 and 119,009.42

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Solution

The fourth proportional to 318,853.38, 478,114.00 and 119,009.42 is: 178,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,853.38 : 478,114.00 = 119,009.42 : x
  2. Step 2: Convert to fraction form
    318,853.38/478,114.00 = 119,009.42/x
  3. Step 3: Cross multiply
    318,853.38x = 478,114.00 × 119,009.42
  4. Step 4: Simplify right side
    318,853.38x = 56,900,067,145.79
  5. Step 5: Solve for x
    x = 56,900,067,145.79/318,853.38
  6. Step 6: Final answer
    x = 178,452.14

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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.