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Finding the Fourth Proportional to 266,912,005.80, 400,368,008.70 and 164,343,455.40

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Solution

The fourth proportional to 266,912,005.80, 400,368,008.70 and 164,343,455.40 is: 246,515,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,912,005.80 : 400,368,008.70 = 164,343,455.40 : x
  2. Step 2: Convert to fraction form
    266,912,005.80/400,368,008.70 = 164,343,455.40/x
  3. Step 3: Cross multiply
    266,912,005.80x = 400,368,008.70 × 164,343,455.40
  4. Step 4: Simplify right side
    266,912,005.80x = 65,797,861,981,375,264
  5. Step 5: Solve for x
    x = 65,797,861,981,375,264/266,912,005.80
  6. Step 6: Final answer
    x = 246,515,183.10

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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.