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Finding the Fourth Proportional to 282,670.27, 390,118.16 and 167,949.86

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Solution

The fourth proportional to 282,670.27, 390,118.16 and 167,949.86 is: 231,790.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,670.27 : 390,118.16 = 167,949.86 : x
  2. Step 2: Convert to fraction form
    282,670.27/390,118.16 = 167,949.86/x
  3. Step 3: Cross multiply
    282,670.27x = 390,118.16 × 167,949.86
  4. Step 4: Simplify right side
    282,670.27x = 65,520,288,824.74
  5. Step 5: Solve for x
    x = 65,520,288,824.74/282,670.27
  6. Step 6: Final answer
    x = 231,790.52

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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.