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Finding the Fourth Proportional to 384,452.79, 530,522.85 and 229,578.83

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Solution

The fourth proportional to 384,452.79, 530,522.85 and 229,578.83 is: 316,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,452.79 : 530,522.85 = 229,578.83 : x
  2. Step 2: Convert to fraction form
    384,452.79/530,522.85 = 229,578.83/x
  3. Step 3: Cross multiply
    384,452.79x = 530,522.85 × 229,578.83
  4. Step 4: Simplify right side
    384,452.79x = 121,796,815,191.27
  5. Step 5: Solve for x
    x = 121,796,815,191.27/384,452.79
  6. Step 6: Final answer
    x = 316,805.65

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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.