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Finding the Fourth Proportional to 384,182.31, 530,133.69 and 212,089.11

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Solution

The fourth proportional to 384,182.31, 530,133.69 and 212,089.11 is: 292,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,182.31 : 530,133.69 = 212,089.11 : x
  2. Step 2: Convert to fraction form
    384,182.31/530,133.69 = 212,089.11/x
  3. Step 3: Cross multiply
    384,182.31x = 530,133.69 × 212,089.11
  4. Step 4: Simplify right side
    384,182.31x = 112,435,582,493.12
  5. Step 5: Solve for x
    x = 112,435,582,493.12/384,182.31
  6. Step 6: Final answer
    x = 292,662.05

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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.