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Finding the Fourth Proportional to 289,219.23, 433,994.82 and 225,861.48

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Solution

The fourth proportional to 289,219.23, 433,994.82 and 225,861.48 is: 338,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,219.23 : 433,994.82 = 225,861.48 : x
  2. Step 2: Convert to fraction form
    289,219.23/433,994.82 = 225,861.48/x
  3. Step 3: Cross multiply
    289,219.23x = 433,994.82 × 225,861.48
  4. Step 4: Simplify right side
    289,219.23x = 98,022,712,357.53
  5. Step 5: Solve for x
    x = 98,022,712,357.53/289,219.23
  6. Step 6: Final answer
    x = 338,921.84

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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.