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Finding the Fourth Proportional to 382,149.52, 527,355 and 218,800.60

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Solution

The fourth proportional to 382,149.52, 527,355 and 218,800.60 is: 301,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,149.52 : 527,355 = 218,800.60 : x
  2. Step 2: Convert to fraction form
    382,149.52/527,355 = 218,800.60/x
  3. Step 3: Cross multiply
    382,149.52x = 527,355 × 218,800.60
  4. Step 4: Simplify right side
    382,149.52x = 115,385,590,413
  5. Step 5: Solve for x
    x = 115,385,590,413/382,149.52
  6. Step 6: Final answer
    x = 301,938.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.