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Finding the Fourth Proportional to 298,486.08, 447,733.44 and 76,870.08

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Solution

The fourth proportional to 298,486.08, 447,733.44 and 76,870.08 is: 115,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,486.08 : 447,733.44 = 76,870.08 : x
  2. Step 2: Convert to fraction form
    298,486.08/447,733.44 = 76,870.08/x
  3. Step 3: Cross multiply
    298,486.08x = 447,733.44 × 76,870.08
  4. Step 4: Simplify right side
    298,486.08x = 34,417,305,351.48
  5. Step 5: Solve for x
    x = 34,417,305,351.48/298,486.08
  6. Step 6: Final answer
    x = 115,306.23

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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.