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Finding the Fourth Proportional to 284,486.50, 426,939.66 and 134,726.50

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Solution

The fourth proportional to 284,486.50, 426,939.66 and 134,726.50 is: 202,189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,486.50 : 426,939.66 = 134,726.50 : x
  2. Step 2: Convert to fraction form
    284,486.50/426,939.66 = 134,726.50/x
  3. Step 3: Cross multiply
    284,486.50x = 426,939.66 × 134,726.50
  4. Step 4: Simplify right side
    284,486.50x = 57,520,086,102.99
  5. Step 5: Solve for x
    x = 57,520,086,102.99/284,486.50
  6. Step 6: Final answer
    x = 202,189.16

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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.