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Finding the Fourth Proportional to 285,274.73, 393,691.43 and 157,950.31

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Solution

The fourth proportional to 285,274.73, 393,691.43 and 157,950.31 is: 217,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,274.73 : 393,691.43 = 157,950.31 : x
  2. Step 2: Convert to fraction form
    285,274.73/393,691.43 = 157,950.31/x
  3. Step 3: Cross multiply
    285,274.73x = 393,691.43 × 157,950.31
  4. Step 4: Simplify right side
    285,274.73x = 62,183,683,412.84
  5. Step 5: Solve for x
    x = 62,183,683,412.84/285,274.73
  6. Step 6: Final answer
    x = 217,978.24

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1.5x scale

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.