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Finding the Fourth Proportional to 285,302.94, 393,713.25 and 157,975.80

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Solution

The fourth proportional to 285,302.94, 393,713.25 and 157,975.80 is: 218,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,302.94 : 393,713.25 = 157,975.80 : x
  2. Step 2: Convert to fraction form
    285,302.94/393,713.25 = 157,975.80/x
  3. Step 3: Cross multiply
    285,302.94x = 393,713.25 × 157,975.80
  4. Step 4: Simplify right side
    285,302.94x = 62,197,165,639.35
  5. Step 5: Solve for x
    x = 62,197,165,639.35/285,302.94
  6. Step 6: Final answer
    x = 218,003.94

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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.