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Finding the Fourth Proportional to 299,010,711.60, 448,516,067.40 and 280,835,429.40

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Solution

The fourth proportional to 299,010,711.60, 448,516,067.40 and 280,835,429.40 is: 421,253,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,010,711.60 : 448,516,067.40 = 280,835,429.40 : x
  2. Step 2: Convert to fraction form
    299,010,711.60/448,516,067.40 = 280,835,429.40/x
  3. Step 3: Cross multiply
    299,010,711.60x = 448,516,067.40 × 280,835,429.40
  4. Step 4: Simplify right side
    299,010,711.60x = 125,959,202,381,078,320
  5. Step 5: Solve for x
    x = 125,959,202,381,078,320/299,010,711.60
  6. Step 6: Final answer
    x = 421,253,144.10

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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.