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Finding the Fourth Proportional to 324,769,999.80, 487,154,999.70 and 82,432,903.80

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Solution

The fourth proportional to 324,769,999.80, 487,154,999.70 and 82,432,903.80 is: 123,649,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,769,999.80 : 487,154,999.70 = 82,432,903.80 : x
  2. Step 2: Convert to fraction form
    324,769,999.80/487,154,999.70 = 82,432,903.80/x
  3. Step 3: Cross multiply
    324,769,999.80x = 487,154,999.70 × 82,432,903.80
  4. Step 4: Simplify right side
    324,769,999.80x = 40,157,601,225,959,128
  5. Step 5: Solve for x
    x = 40,157,601,225,959,128/324,769,999.80
  6. Step 6: Final answer
    x = 123,649,355.70

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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.