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Finding the Fourth Proportional to 659,735,455.60, 988,752,877.80 and 400,675,682.80

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Solution

The fourth proportional to 659,735,455.60, 988,752,877.80 and 400,675,682.80 is: 600,497,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,735,455.60 : 988,752,877.80 = 400,675,682.80 : x
  2. Step 2: Convert to fraction form
    659,735,455.60/988,752,877.80 = 400,675,682.80/x
  3. Step 3: Cross multiply
    659,735,455.60x = 988,752,877.80 × 400,675,682.80
  4. Step 4: Simplify right side
    659,735,455.60x = 396,169,234,432,979,968
  5. Step 5: Solve for x
    x = 396,169,234,432,979,968/659,735,455.60
  6. Step 6: Final answer
    x = 600,497,109.97

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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.