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Finding the Fourth Proportional to 266,912,000.80, 400,368,001.20 and 164,343,450.40

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Solution

The fourth proportional to 266,912,000.80, 400,368,001.20 and 164,343,450.40 is: 246,515,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,912,000.80 : 400,368,001.20 = 164,343,450.40 : x
  2. Step 2: Convert to fraction form
    266,912,000.80/400,368,001.20 = 164,343,450.40/x
  3. Step 3: Cross multiply
    266,912,000.80x = 400,368,001.20 × 164,343,450.40
  4. Step 4: Simplify right side
    266,912,000.80x = 65,797,858,746,959,344
  5. Step 5: Solve for x
    x = 65,797,858,746,959,344/266,912,000.80
  6. Step 6: Final answer
    x = 246,515,175.60

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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.