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Finding the Fourth Proportional to 638,005.74, 956,958.36 and 278,168.10

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Solution

The fourth proportional to 638,005.74, 956,958.36 and 278,168.10 is: 417,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,005.74 : 956,958.36 = 278,168.10 : x
  2. Step 2: Convert to fraction form
    638,005.74/956,958.36 = 278,168.10/x
  3. Step 3: Cross multiply
    638,005.74x = 956,958.36 × 278,168.10
  4. Step 4: Simplify right side
    638,005.74x = 266,195,288,780.32
  5. Step 5: Solve for x
    x = 266,195,288,780.32/638,005.74
  6. Step 6: Final answer
    x = 417,230.24

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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.