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Finding the Fourth Proportional to 256,291.91, 353,681.42 and 141,578.45

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Solution

The fourth proportional to 256,291.91, 353,681.42 and 141,578.45 is: 195,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,291.91 : 353,681.42 = 141,578.45 : x
  2. Step 2: Convert to fraction form
    256,291.91/353,681.42 = 141,578.45/x
  3. Step 3: Cross multiply
    256,291.91x = 353,681.42 × 141,578.45
  4. Step 4: Simplify right side
    256,291.91x = 50,073,665,468.99
  5. Step 5: Solve for x
    x = 50,073,665,468.99/256,291.91
  6. Step 6: Final answer
    x = 195,377.48

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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.