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Finding the Fourth Proportional to 285,266.34, 393,667.38 and 157,950

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Solution

The fourth proportional to 285,266.34, 393,667.38 and 157,950 is: 217,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,266.34 : 393,667.38 = 157,950 : x
  2. Step 2: Convert to fraction form
    285,266.34/393,667.38 = 157,950/x
  3. Step 3: Cross multiply
    285,266.34x = 393,667.38 × 157,950
  4. Step 4: Simplify right side
    285,266.34x = 62,179,762,671
  5. Step 5: Solve for x
    x = 62,179,762,671/285,266.34
  6. Step 6: Final answer
    x = 217,970.91

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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.