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Finding the Fourth Proportional to 858,806,235.10, 1,288,209,352.65 and 725,780,647.90

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Solution

The fourth proportional to 858,806,235.10, 1,288,209,352.65 and 725,780,647.90 is: 1,088,670,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,806,235.10 : 1,288,209,352.65 = 725,780,647.90 : x
  2. Step 2: Convert to fraction form
    858,806,235.10/1,288,209,352.65 = 725,780,647.90/x
  3. Step 3: Cross multiply
    858,806,235.10x = 1,288,209,352.65 × 725,780,647.90
  4. Step 4: Simplify right side
    858,806,235.10x = 934,957,418,597,156,608
  5. Step 5: Solve for x
    x = 934,957,418,597,156,608/858,806,235.10
  6. Step 6: Final answer
    x = 1,088,670,971.85

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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.