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Finding the Fourth Proportional to 289,082.32, 433,621.05 and 225,955.54

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Solution

The fourth proportional to 289,082.32, 433,621.05 and 225,955.54 is: 338,931.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,082.32 : 433,621.05 = 225,955.54 : x
  2. Step 2: Convert to fraction form
    289,082.32/433,621.05 = 225,955.54/x
  3. Step 3: Cross multiply
    289,082.32x = 433,621.05 × 225,955.54
  4. Step 4: Simplify right side
    289,082.32x = 97,979,078,202.81
  5. Step 5: Solve for x
    x = 97,979,078,202.81/289,082.32
  6. Step 6: Final answer
    x = 338,931.41

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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.