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Finding the Fourth Proportional to 221,572.80, 331,970.40 and 181,915.20

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Solution

The fourth proportional to 221,572.80, 331,970.40 and 181,915.20 is: 272,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572.80 : 331,970.40 = 181,915.20 : x
  2. Step 2: Convert to fraction form
    221,572.80/331,970.40 = 181,915.20/x
  3. Step 3: Cross multiply
    221,572.80x = 331,970.40 × 181,915.20
  4. Step 4: Simplify right side
    221,572.80x = 60,390,461,710.08
  5. Step 5: Solve for x
    x = 60,390,461,710.08/221,572.80
  6. Step 6: Final answer
    x = 272,553.59

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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.