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Finding the Fourth Proportional to 431,099,662.80, 646,649,494.20 and 158,435,000.40

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Solution

The fourth proportional to 431,099,662.80, 646,649,494.20 and 158,435,000.40 is: 237,652,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,099,662.80 : 646,649,494.20 = 158,435,000.40 : x
  2. Step 2: Convert to fraction form
    431,099,662.80/646,649,494.20 = 158,435,000.40/x
  3. Step 3: Cross multiply
    431,099,662.80x = 646,649,494.20 × 158,435,000.40
  4. Step 4: Simplify right side
    431,099,662.80x = 102,451,912,872,236,816
  5. Step 5: Solve for x
    x = 102,451,912,872,236,816/431,099,662.80
  6. Step 6: Final answer
    x = 237,652,500.60

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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.