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Finding the Fourth Proportional to 256,835,998.60, 385,253,997.90 and 147,996,881.80

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Solution

The fourth proportional to 256,835,998.60, 385,253,997.90 and 147,996,881.80 is: 221,995,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,835,998.60 : 385,253,997.90 = 147,996,881.80 : x
  2. Step 2: Convert to fraction form
    256,835,998.60/385,253,997.90 = 147,996,881.80/x
  3. Step 3: Cross multiply
    256,835,998.60x = 385,253,997.90 × 147,996,881.80
  4. Step 4: Simplify right side
    256,835,998.60x = 57,016,390,390,183,752
  5. Step 5: Solve for x
    x = 57,016,390,390,183,752/256,835,998.60
  6. Step 6: Final answer
    x = 221,995,322.70

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1.5x scale

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.