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Finding the Fourth Proportional to 298,944,247.60, 448,416,371.40 and 258,049,862.65

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Solution

The fourth proportional to 298,944,247.60, 448,416,371.40 and 258,049,862.65 is: 387,074,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,944,247.60 : 448,416,371.40 = 258,049,862.65 : x
  2. Step 2: Convert to fraction form
    298,944,247.60/448,416,371.40 = 258,049,862.65/x
  3. Step 3: Cross multiply
    298,944,247.60x = 448,416,371.40 × 258,049,862.65
  4. Step 4: Simplify right side
    298,944,247.60x = 115,713,783,049,781,392
  5. Step 5: Solve for x
    x = 115,713,783,049,781,392/298,944,247.60
  6. Step 6: Final answer
    x = 387,074,793.98

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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.