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Finding the Fourth Proportional to 284,758.20, 427,137.30 and 74,417.40

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Solution

The fourth proportional to 284,758.20, 427,137.30 and 74,417.40 is: 111,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,758.20 : 427,137.30 = 74,417.40 : x
  2. Step 2: Convert to fraction form
    284,758.20/427,137.30 = 74,417.40/x
  3. Step 3: Cross multiply
    284,758.20x = 427,137.30 × 74,417.40
  4. Step 4: Simplify right side
    284,758.20x = 31,786,447,309.02
  5. Step 5: Solve for x
    x = 31,786,447,309.02/284,758.20
  6. Step 6: Final answer
    x = 111,626.10

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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.