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Finding the Fourth Proportional to 851,265,737.10, 1,276,898,605.65 and 522,675,766.80

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Solution

The fourth proportional to 851,265,737.10, 1,276,898,605.65 and 522,675,766.80 is: 784,013,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,265,737.10 : 1,276,898,605.65 = 522,675,766.80 : x
  2. Step 2: Convert to fraction form
    851,265,737.10/1,276,898,605.65 = 522,675,766.80/x
  3. Step 3: Cross multiply
    851,265,737.10x = 1,276,898,605.65 × 522,675,766.80
  4. Step 4: Simplify right side
    851,265,737.10x = 667,403,957,833,964,672
  5. Step 5: Solve for x
    x = 667,403,957,833,964,672/851,265,737.10
  6. Step 6: Final answer
    x = 784,013,650.20

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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.