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Finding the Fourth Proportional to 305,763.20, 459,082.20 and 217,408.40

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Solution

The fourth proportional to 305,763.20, 459,082.20 and 217,408.40 is: 326,423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,763.20 : 459,082.20 = 217,408.40 : x
  2. Step 2: Convert to fraction form
    305,763.20/459,082.20 = 217,408.40/x
  3. Step 3: Cross multiply
    305,763.20x = 459,082.20 × 217,408.40
  4. Step 4: Simplify right side
    305,763.20x = 99,808,326,570.48
  5. Step 5: Solve for x
    x = 99,808,326,570.48/305,763.20
  6. Step 6: Final answer
    x = 326,423.61

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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.