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Finding the Fourth Proportional to 384,098.91, 530,056.52 and 212,016.92

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Solution

The fourth proportional to 384,098.91, 530,056.52 and 212,016.92 is: 292,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,098.91 : 530,056.52 = 212,016.92 : x
  2. Step 2: Convert to fraction form
    384,098.91/530,056.52 = 212,016.92/x
  3. Step 3: Cross multiply
    384,098.91x = 530,056.52 × 212,016.92
  4. Step 4: Simplify right side
    384,098.91x = 112,380,948,676.08
  5. Step 5: Solve for x
    x = 112,380,948,676.08/384,098.91
  6. Step 6: Final answer
    x = 292,583.36

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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.