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Finding the Fourth Proportional to 400,777,624.80, 561,894,890.40 and 400,777,624.80

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Solution

The fourth proportional to 400,777,624.80, 561,894,890.40 and 400,777,624.80 is: 561,894,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,777,624.80 : 561,894,890.40 = 400,777,624.80 : x
  2. Step 2: Convert to fraction form
    400,777,624.80/561,894,890.40 = 400,777,624.80/x
  3. Step 3: Cross multiply
    400,777,624.80x = 561,894,890.40 × 400,777,624.80
  4. Step 4: Simplify right side
    400,777,624.80x = 225,194,899,561,768,320
  5. Step 5: Solve for x
    x = 225,194,899,561,768,320/400,777,624.80
  6. Step 6: Final answer
    x = 561,894,890.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.