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Finding the Fourth Proportional to 432,910.80, 649,366.20 and 291,193.20

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Solution

The fourth proportional to 432,910.80, 649,366.20 and 291,193.20 is: 436,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,910.80 : 649,366.20 = 291,193.20 : x
  2. Step 2: Convert to fraction form
    432,910.80/649,366.20 = 291,193.20/x
  3. Step 3: Cross multiply
    432,910.80x = 649,366.20 × 291,193.20
  4. Step 4: Simplify right side
    432,910.80x = 189,091,021,749.84
  5. Step 5: Solve for x
    x = 189,091,021,749.84/432,910.80
  6. Step 6: Final answer
    x = 436,789.80

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1.5x scale

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.