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Finding the Fourth Proportional to 284,551.80, 426,849.30 and 84,856.56

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Solution

The fourth proportional to 284,551.80, 426,849.30 and 84,856.56 is: 127,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,551.80 : 426,849.30 = 84,856.56 : x
  2. Step 2: Convert to fraction form
    284,551.80/426,849.30 = 84,856.56/x
  3. Step 3: Cross multiply
    284,551.80x = 426,849.30 × 84,856.56
  4. Step 4: Simplify right side
    284,551.80x = 36,220,963,236.41
  5. Step 5: Solve for x
    x = 36,220,963,236.41/284,551.80
  6. Step 6: Final answer
    x = 127,291.28

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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.