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Finding the Fourth Proportional to 384,244.16, 530,218.74 and 212,150.96

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Solution

The fourth proportional to 384,244.16, 530,218.74 and 212,150.96 is: 292,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,244.16 : 530,218.74 = 212,150.96 : x
  2. Step 2: Convert to fraction form
    384,244.16/530,218.74 = 212,150.96/x
  3. Step 3: Cross multiply
    384,244.16x = 530,218.74 × 212,150.96
  4. Step 4: Simplify right side
    384,244.16x = 112,486,414,700.99
  5. Step 5: Solve for x
    x = 112,486,414,700.99/384,244.16
  6. Step 6: Final answer
    x = 292,747.23

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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.