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Finding the Fourth Proportional to 318,982.70, 478,458.14 and 119,288.40

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Solution

The fourth proportional to 318,982.70, 478,458.14 and 119,288.40 is: 178,926.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,982.70 : 478,458.14 = 119,288.40 : x
  2. Step 2: Convert to fraction form
    318,982.70/478,458.14 = 119,288.40/x
  3. Step 3: Cross multiply
    318,982.70x = 478,458.14 × 119,288.40
  4. Step 4: Simplify right side
    318,982.70x = 57,074,505,689.36
  5. Step 5: Solve for x
    x = 57,074,505,689.36/318,982.70
  6. Step 6: Final answer
    x = 178,926.65

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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.