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Finding the Fourth Proportional to 284,876.60, 427,047.60 and 107,502.80

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Solution

The fourth proportional to 284,876.60, 427,047.60 and 107,502.80 is: 161,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,876.60 : 427,047.60 = 107,502.80 : x
  2. Step 2: Convert to fraction form
    284,876.60/427,047.60 = 107,502.80/x
  3. Step 3: Cross multiply
    284,876.60x = 427,047.60 × 107,502.80
  4. Step 4: Simplify right side
    284,876.60x = 45,908,812,733.28
  5. Step 5: Solve for x
    x = 45,908,812,733.28/284,876.60
  6. Step 6: Final answer
    x = 161,153.33

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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.