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Finding the Fourth Proportional to 285,700.68, 394,270.50 and 164,867.04

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Solution

The fourth proportional to 285,700.68, 394,270.50 and 164,867.04 is: 227,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,700.68 : 394,270.50 = 164,867.04 : x
  2. Step 2: Convert to fraction form
    285,700.68/394,270.50 = 164,867.04/x
  3. Step 3: Cross multiply
    285,700.68x = 394,270.50 × 164,867.04
  4. Step 4: Simplify right side
    285,700.68x = 65,002,210,294.32
  5. Step 5: Solve for x
    x = 65,002,210,294.32/285,700.68
  6. Step 6: Final answer
    x = 227,518.57

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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.