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Finding the Fourth Proportional to 284,502.84, 426,749.37 and 84,824.25

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Solution

The fourth proportional to 284,502.84, 426,749.37 and 84,824.25 is: 127,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,502.84 : 426,749.37 = 84,824.25 : x
  2. Step 2: Convert to fraction form
    284,502.84/426,749.37 = 84,824.25/x
  3. Step 3: Cross multiply
    284,502.84x = 426,749.37 × 84,824.25
  4. Step 4: Simplify right side
    284,502.84x = 36,198,695,248.22
  5. Step 5: Solve for x
    x = 36,198,695,248.22/284,502.84
  6. Step 6: Final answer
    x = 127,234.92

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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.