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Finding the Fourth Proportional to 638,006.74, 956,959.86 and 278,169.10

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Solution

The fourth proportional to 638,006.74, 956,959.86 and 278,169.10 is: 417,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,006.74 : 956,959.86 = 278,169.10 : x
  2. Step 2: Convert to fraction form
    638,006.74/956,959.86 = 278,169.10/x
  3. Step 3: Cross multiply
    638,006.74x = 956,959.86 × 278,169.10
  4. Step 4: Simplify right side
    638,006.74x = 266,196,662,992.33
  5. Step 5: Solve for x
    x = 266,196,662,992.33/638,006.74
  6. Step 6: Final answer
    x = 417,231.74

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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.