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Finding the Fourth Proportional to 384,198.92, 530,194.20 and 212,117.12

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Solution

The fourth proportional to 384,198.92, 530,194.20 and 212,117.12 is: 292,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,198.92 : 530,194.20 = 212,117.12 : x
  2. Step 2: Convert to fraction form
    384,198.92/530,194.20 = 212,117.12/x
  3. Step 3: Cross multiply
    384,198.92x = 530,194.20 × 212,117.12
  4. Step 4: Simplify right side
    384,198.92x = 112,463,266,744.70
  5. Step 5: Solve for x
    x = 112,463,266,744.70/384,198.92
  6. Step 6: Final answer
    x = 292,721.45

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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.