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Finding the Fourth Proportional to 285,149.56, 393,501.63 and 157,822.42

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Solution

The fourth proportional to 285,149.56, 393,501.63 and 157,822.42 is: 217,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,149.56 : 393,501.63 = 157,822.42 : x
  2. Step 2: Convert to fraction form
    285,149.56/393,501.63 = 157,822.42/x
  3. Step 3: Cross multiply
    285,149.56x = 393,501.63 × 157,822.42
  4. Step 4: Simplify right side
    285,149.56x = 62,103,379,520.54
  5. Step 5: Solve for x
    x = 62,103,379,520.54/285,149.56
  6. Step 6: Final answer
    x = 217,792.30

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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.