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Finding the Fourth Proportional to 381,005.21, 525,793.13 and 208,938.89

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Solution

The fourth proportional to 381,005.21, 525,793.13 and 208,938.89 is: 288,338.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,005.21 : 525,793.13 = 208,938.89 : x
  2. Step 2: Convert to fraction form
    381,005.21/525,793.13 = 208,938.89/x
  3. Step 3: Cross multiply
    381,005.21x = 525,793.13 × 208,938.89
  4. Step 4: Simplify right side
    381,005.21x = 109,858,632,951.83
  5. Step 5: Solve for x
    x = 109,858,632,951.83/381,005.21
  6. Step 6: Final answer
    x = 288,338.93

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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.