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Finding the Fourth Proportional to 266,912,007.30, 400,368,010.95 and 164,343,456.90

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Solution

The fourth proportional to 266,912,007.30, 400,368,010.95 and 164,343,456.90 is: 246,515,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,912,007.30 : 400,368,010.95 = 164,343,456.90 : x
  2. Step 2: Convert to fraction form
    266,912,007.30/400,368,010.95 = 164,343,456.90/x
  3. Step 3: Cross multiply
    266,912,007.30x = 400,368,010.95 × 164,343,456.90
  4. Step 4: Simplify right side
    266,912,007.30x = 65,797,862,951,700,056
  5. Step 5: Solve for x
    x = 65,797,862,951,700,056/266,912,007.30
  6. Step 6: Final answer
    x = 246,515,185.35

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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.