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Finding the Fourth Proportional to 282,696.75, 390,110.80 and 161,849.27

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Solution

The fourth proportional to 282,696.75, 390,110.80 and 161,849.27 is: 223,345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,696.75 : 390,110.80 = 161,849.27 : x
  2. Step 2: Convert to fraction form
    282,696.75/390,110.80 = 161,849.27/x
  3. Step 3: Cross multiply
    282,696.75x = 390,110.80 × 161,849.27
  4. Step 4: Simplify right side
    282,696.75x = 63,139,148,199.12
  5. Step 5: Solve for x
    x = 63,139,148,199.12/282,696.75
  6. Step 6: Final answer
    x = 223,345.86

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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.