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Finding the Fourth Proportional to 284,842.66, 427,288.36 and 74,480.26

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Solution

The fourth proportional to 284,842.66, 427,288.36 and 74,480.26 is: 111,726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,842.66 : 427,288.36 = 74,480.26 : x
  2. Step 2: Convert to fraction form
    284,842.66/427,288.36 = 74,480.26/x
  3. Step 3: Cross multiply
    284,842.66x = 427,288.36 × 74,480.26
  4. Step 4: Simplify right side
    284,842.66x = 31,824,548,147.77
  5. Step 5: Solve for x
    x = 31,824,548,147.77/284,842.66
  6. Step 6: Final answer
    x = 111,726.76

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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.