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Finding the Fourth Proportional to 285,163.83, 393,484.89 and 157,839.12

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Solution

The fourth proportional to 285,163.83, 393,484.89 and 157,839.12 is: 217,795.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,163.83 : 393,484.89 = 157,839.12 : x
  2. Step 2: Convert to fraction form
    285,163.83/393,484.89 = 157,839.12/x
  3. Step 3: Cross multiply
    285,163.83x = 393,484.89 × 157,839.12
  4. Step 4: Simplify right side
    285,163.83x = 62,107,308,770.90
  5. Step 5: Solve for x
    x = 62,107,308,770.90/285,163.83
  6. Step 6: Final answer
    x = 217,795.18

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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.