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Finding the Fourth Proportional to 285,963.65, 428,542.27 and 157,937.66

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Solution

The fourth proportional to 285,963.65, 428,542.27 and 157,937.66 is: 236,683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,963.65 : 428,542.27 = 157,937.66 : x
  2. Step 2: Convert to fraction form
    285,963.65/428,542.27 = 157,937.66/x
  3. Step 3: Cross multiply
    285,963.65x = 428,542.27 × 157,937.66
  4. Step 4: Simplify right side
    285,963.65x = 67,682,961,643.29
  5. Step 5: Solve for x
    x = 67,682,961,643.29/285,963.65
  6. Step 6: Final answer
    x = 236,683.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.