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Finding the Fourth Proportional to 384,717.62, 530,937.80 and 212,631.89

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Solution

The fourth proportional to 384,717.62, 530,937.80 and 212,631.89 is: 293,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,717.62 : 530,937.80 = 212,631.89 : x
  2. Step 2: Convert to fraction form
    384,717.62/530,937.80 = 212,631.89/x
  3. Step 3: Cross multiply
    384,717.62x = 530,937.80 × 212,631.89
  4. Step 4: Simplify right side
    384,717.62x = 112,894,305,763.33
  5. Step 5: Solve for x
    x = 112,894,305,763.33/384,717.62
  6. Step 6: Final answer
    x = 293,447.19

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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.