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Finding the Fourth Proportional to 285,640.71, 394,142.67 and 158,316

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Solution

The fourth proportional to 285,640.71, 394,142.67 and 158,316 is: 218,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,640.71 : 394,142.67 = 158,316 : x
  2. Step 2: Convert to fraction form
    285,640.71/394,142.67 = 158,316/x
  3. Step 3: Cross multiply
    285,640.71x = 394,142.67 × 158,316
  4. Step 4: Simplify right side
    285,640.71x = 62,399,090,943.72
  5. Step 5: Solve for x
    x = 62,399,090,943.72/285,640.71
  6. Step 6: Final answer
    x = 218,453.07

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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.