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Finding the Fourth Proportional to 256,626,400.80, 384,939,601.20 and 84,061,603.20

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Solution

The fourth proportional to 256,626,400.80, 384,939,601.20 and 84,061,603.20 is: 126,092,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,626,400.80 : 384,939,601.20 = 84,061,603.20 : x
  2. Step 2: Convert to fraction form
    256,626,400.80/384,939,601.20 = 84,061,603.20/x
  3. Step 3: Cross multiply
    256,626,400.80x = 384,939,601.20 × 84,061,603.20
  4. Step 4: Simplify right side
    256,626,400.80x = 32,358,640,012,040,644
  5. Step 5: Solve for x
    x = 32,358,640,012,040,644/256,626,400.80
  6. Step 6: Final answer
    x = 126,092,404.80

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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.