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Finding the Fourth Proportional to 447,356.84, 671,346.30 and 289,193

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Solution

The fourth proportional to 447,356.84, 671,346.30 and 289,193 is: 433,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,356.84 : 671,346.30 = 289,193 : x
  2. Step 2: Convert to fraction form
    447,356.84/671,346.30 = 289,193/x
  3. Step 3: Cross multiply
    447,356.84x = 671,346.30 × 289,193
  4. Step 4: Simplify right side
    447,356.84x = 194,148,650,535.90
  5. Step 5: Solve for x
    x = 194,148,650,535.90/447,356.84
  6. Step 6: Final answer
    x = 433,990.57

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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.