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Finding the Fourth Proportional to 289,446.72, 399,484.44 and 198,728.40

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Solution

The fourth proportional to 289,446.72, 399,484.44 and 198,728.40 is: 274,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,446.72 : 399,484.44 = 198,728.40 : x
  2. Step 2: Convert to fraction form
    289,446.72/399,484.44 = 198,728.40/x
  3. Step 3: Cross multiply
    289,446.72x = 399,484.44 × 198,728.40
  4. Step 4: Simplify right side
    289,446.72x = 79,388,903,586.10
  5. Step 5: Solve for x
    x = 79,388,903,586.10/289,446.72
  6. Step 6: Final answer
    x = 274,278.12

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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.