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Finding the Fourth Proportional to 298,906,100.80, 448,359,151.20 and 264,893,876.80

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Solution

The fourth proportional to 298,906,100.80, 448,359,151.20 and 264,893,876.80 is: 397,340,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,906,100.80 : 448,359,151.20 = 264,893,876.80 : x
  2. Step 2: Convert to fraction form
    298,906,100.80/448,359,151.20 = 264,893,876.80/x
  3. Step 3: Cross multiply
    298,906,100.80x = 448,359,151.20 × 264,893,876.80
  4. Step 4: Simplify right side
    298,906,100.80x = 118,767,593,760,125,376
  5. Step 5: Solve for x
    x = 118,767,593,760,125,376/298,906,100.80
  6. Step 6: Final answer
    x = 397,340,815.20

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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.