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Finding the Fourth Proportional to 285,382.81, 393,827.29 and 164,523.52

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Solution

The fourth proportional to 285,382.81, 393,827.29 and 164,523.52 is: 227,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,382.81 : 393,827.29 = 164,523.52 : x
  2. Step 2: Convert to fraction form
    285,382.81/393,827.29 = 164,523.52/x
  3. Step 3: Cross multiply
    285,382.81x = 393,827.29 × 164,523.52
  4. Step 4: Simplify right side
    285,382.81x = 64,793,852,022.86
  5. Step 5: Solve for x
    x = 64,793,852,022.86/285,382.81
  6. Step 6: Final answer
    x = 227,041.89

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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.