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Finding the Fourth Proportional to 772,652,251.70, 1,158,978,377.55 and 255,162,562.10

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Solution

The fourth proportional to 772,652,251.70, 1,158,978,377.55 and 255,162,562.10 is: 382,743,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,652,251.70 : 1,158,978,377.55 = 255,162,562.10 : x
  2. Step 2: Convert to fraction form
    772,652,251.70/1,158,978,377.55 = 255,162,562.10/x
  3. Step 3: Cross multiply
    772,652,251.70x = 1,158,978,377.55 × 255,162,562.10
  4. Step 4: Simplify right side
    772,652,251.70x = 295,727,892,234,159,104
  5. Step 5: Solve for x
    x = 295,727,892,234,159,104/772,652,251.70
  6. Step 6: Final answer
    x = 382,743,843.15

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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.