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Finding the Fourth Proportional to 298,644, 447,974.64 and 77,028

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Solution

The fourth proportional to 298,644, 447,974.64 and 77,028 is: 115,544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,644 : 447,974.64 = 77,028 : x
  2. Step 2: Convert to fraction form
    298,644/447,974.64 = 77,028/x
  3. Step 3: Cross multiply
    298,644x = 447,974.64 × 77,028
  4. Step 4: Simplify right side
    298,644x = 34,506,590,569.92
  5. Step 5: Solve for x
    x = 34,506,590,569.92/298,644
  6. Step 6: Final answer
    x = 115,544.23

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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.