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Finding the Fourth Proportional to 282,656.30, 390,043.04 and 161,769.86

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Solution

The fourth proportional to 282,656.30, 390,043.04 and 161,769.86 is: 223,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,656.30 : 390,043.04 = 161,769.86 : x
  2. Step 2: Convert to fraction form
    282,656.30/390,043.04 = 161,769.86/x
  3. Step 3: Cross multiply
    282,656.30x = 390,043.04 × 161,769.86
  4. Step 4: Simplify right side
    282,656.30x = 63,097,207,974.77
  5. Step 5: Solve for x
    x = 63,097,207,974.77/282,656.30
  6. Step 6: Final answer
    x = 223,229.44

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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.