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Finding the Fourth Proportional to 384,199.92, 530,195.58 and 212,118.12

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Solution

The fourth proportional to 384,199.92, 530,195.58 and 212,118.12 is: 292,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,199.92 : 530,195.58 = 212,118.12 : x
  2. Step 2: Convert to fraction form
    384,199.92/530,195.58 = 212,118.12/x
  3. Step 3: Cross multiply
    384,199.92x = 530,195.58 × 212,118.12
  4. Step 4: Simplify right side
    384,199.92x = 112,464,089,661.91
  5. Step 5: Solve for x
    x = 112,464,089,661.91/384,199.92
  6. Step 6: Final answer
    x = 292,722.83

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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.