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Finding the Fourth Proportional to 778,520,922.64, 1,074,355,006.45 and 421,288,447.57

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Solution

The fourth proportional to 778,520,922.64, 1,074,355,006.45 and 421,288,447.57 is: 581,375,965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,520,922.64 : 1,074,355,006.45 = 421,288,447.57 : x
  2. Step 2: Convert to fraction form
    778,520,922.64/1,074,355,006.45 = 421,288,447.57/x
  3. Step 3: Cross multiply
    778,520,922.64x = 1,074,355,006.45 × 421,288,447.57
  4. Step 4: Simplify right side
    778,520,922.64x = 452,613,352,806,377,856
  5. Step 5: Solve for x
    x = 452,613,352,806,377,856/778,520,922.64
  6. Step 6: Final answer
    x = 581,375,965.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.