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Finding the Fourth Proportional to 282,657.64, 390,049.18 and 161,799.88

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Solution

The fourth proportional to 282,657.64, 390,049.18 and 161,799.88 is: 223,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,657.64 : 390,049.18 = 161,799.88 : x
  2. Step 2: Convert to fraction form
    282,657.64/390,049.18 = 161,799.88/x
  3. Step 3: Cross multiply
    282,657.64x = 390,049.18 × 161,799.88
  4. Step 4: Simplify right side
    282,657.64x = 63,109,910,518.10
  5. Step 5: Solve for x
    x = 63,109,910,518.10/282,657.64
  6. Step 6: Final answer
    x = 223,273.32

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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.