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Finding the Fourth Proportional to 256,836,010.60, 385,254,015.90 and 147,996,893.80

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Solution

The fourth proportional to 256,836,010.60, 385,254,015.90 and 147,996,893.80 is: 221,995,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,836,010.60 : 385,254,015.90 = 147,996,893.80 : x
  2. Step 2: Convert to fraction form
    256,836,010.60/385,254,015.90 = 147,996,893.80/x
  3. Step 3: Cross multiply
    256,836,010.60x = 385,254,015.90 × 147,996,893.80
  4. Step 4: Simplify right side
    256,836,010.60x = 57,016,397,677,175,816
  5. Step 5: Solve for x
    x = 57,016,397,677,175,816/256,836,010.60
  6. Step 6: Final answer
    x = 221,995,340.70

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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.