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Finding the Fourth Proportional to 384,181.31, 530,132.31 and 212,088.11

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Solution

The fourth proportional to 384,181.31, 530,132.31 and 212,088.11 is: 292,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,181.31 : 530,132.31 = 212,088.11 : x
  2. Step 2: Convert to fraction form
    384,181.31/530,132.31 = 212,088.11/x
  3. Step 3: Cross multiply
    384,181.31x = 530,132.31 × 212,088.11
  4. Step 4: Simplify right side
    384,181.31x = 112,434,757,027.17
  5. Step 5: Solve for x
    x = 112,434,757,027.17/384,181.31
  6. Step 6: Final answer
    x = 292,660.66

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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.