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Finding the Fourth Proportional to 858,806,234.10, 1,288,209,351.15 and 725,780,646.90

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Solution

The fourth proportional to 858,806,234.10, 1,288,209,351.15 and 725,780,646.90 is: 1,088,670,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,806,234.10 : 1,288,209,351.15 = 725,780,646.90 : x
  2. Step 2: Convert to fraction form
    858,806,234.10/1,288,209,351.15 = 725,780,646.90/x
  3. Step 3: Cross multiply
    858,806,234.10x = 1,288,209,351.15 × 725,780,646.90
  4. Step 4: Simplify right side
    858,806,234.10x = 934,957,416,220,276,352
  5. Step 5: Solve for x
    x = 934,957,416,220,276,352/858,806,234.10
  6. Step 6: Final answer
    x = 1,088,670,970.35

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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.