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Finding the Fourth Proportional to 287,964.52, 431,610.36 and 216,658

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Solution

The fourth proportional to 287,964.52, 431,610.36 and 216,658 is: 324,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,964.52 : 431,610.36 = 216,658 : x
  2. Step 2: Convert to fraction form
    287,964.52/431,610.36 = 216,658/x
  3. Step 3: Cross multiply
    287,964.52x = 431,610.36 × 216,658
  4. Step 4: Simplify right side
    287,964.52x = 93,511,837,376.88
  5. Step 5: Solve for x
    x = 93,511,837,376.88/287,964.52
  6. Step 6: Final answer
    x = 324,733.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.