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Finding the Fourth Proportional to 284,628.63, 427,016.88 and 84,949.02

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Solution

The fourth proportional to 284,628.63, 427,016.88 and 84,949.02 is: 127,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,628.63 : 427,016.88 = 84,949.02 : x
  2. Step 2: Convert to fraction form
    284,628.63/427,016.88 = 84,949.02/x
  3. Step 3: Cross multiply
    284,628.63x = 427,016.88 × 84,949.02
  4. Step 4: Simplify right side
    284,628.63x = 36,274,665,479.46
  5. Step 5: Solve for x
    x = 36,274,665,479.46/284,628.63
  6. Step 6: Final answer
    x = 127,445.60

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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.