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Finding the Fourth Proportional to 282,661.38, 390,071.43 and 161,802

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Solution

The fourth proportional to 282,661.38, 390,071.43 and 161,802 is: 223,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,661.38 : 390,071.43 = 161,802 : x
  2. Step 2: Convert to fraction form
    282,661.38/390,071.43 = 161,802/x
  3. Step 3: Cross multiply
    282,661.38x = 390,071.43 × 161,802
  4. Step 4: Simplify right side
    282,661.38x = 63,114,337,516.86
  5. Step 5: Solve for x
    x = 63,114,337,516.86/282,661.38
  6. Step 6: Final answer
    x = 223,286.03

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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.