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Finding the Fourth Proportional to 256,609,873.60, 384,158,983.20 and 241,661,291.20

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Solution

The fourth proportional to 256,609,873.60, 384,158,983.20 and 241,661,291.20 is: 361,780,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,609,873.60 : 384,158,983.20 = 241,661,291.20 : x
  2. Step 2: Convert to fraction form
    256,609,873.60/384,158,983.20 = 241,661,291.20/x
  3. Step 3: Cross multiply
    256,609,873.60x = 384,158,983.20 × 241,661,291.20
  4. Step 4: Simplify right side
    256,609,873.60x = 92,836,355,906,191,104
  5. Step 5: Solve for x
    x = 92,836,355,906,191,104/256,609,873.60
  6. Step 6: Final answer
    x = 361,780,139.65

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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.