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Finding the Fourth Proportional to 298,974.25, 448,463 and 77,358.25

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Solution

The fourth proportional to 298,974.25, 448,463 and 77,358.25 is: 116,037.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974.25 : 448,463 = 77,358.25 : x
  2. Step 2: Convert to fraction form
    298,974.25/448,463 = 77,358.25/x
  3. Step 3: Cross multiply
    298,974.25x = 448,463 × 77,358.25
  4. Step 4: Simplify right side
    298,974.25x = 34,692,312,869.75
  5. Step 5: Solve for x
    x = 34,692,312,869.75/298,974.25
  6. Step 6: Final answer
    x = 116,037.80

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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.