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Finding the Fourth Proportional to 385,562.89, 532,083.36 and 211,148.42

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Solution

The fourth proportional to 385,562.89, 532,083.36 and 211,148.42 is: 291,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,562.89 : 532,083.36 = 211,148.42 : x
  2. Step 2: Convert to fraction form
    385,562.89/532,083.36 = 211,148.42/x
  3. Step 3: Cross multiply
    385,562.89x = 532,083.36 × 211,148.42
  4. Step 4: Simplify right side
    385,562.89x = 112,348,561,896.65
  5. Step 5: Solve for x
    x = 112,348,561,896.65/385,562.89
  6. Step 6: Final answer
    x = 291,388.42

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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.