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Finding the Fourth Proportional to 284,942.80, 427,414.20 and 272,808.40

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Solution

The fourth proportional to 284,942.80, 427,414.20 and 272,808.40 is: 409,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,942.80 : 427,414.20 = 272,808.40 : x
  2. Step 2: Convert to fraction form
    284,942.80/427,414.20 = 272,808.40/x
  3. Step 3: Cross multiply
    284,942.80x = 427,414.20 × 272,808.40
  4. Step 4: Simplify right side
    284,942.80x = 116,602,184,039.28
  5. Step 5: Solve for x
    x = 116,602,184,039.28/284,942.80
  6. Step 6: Final answer
    x = 409,212.60

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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.