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Finding the Fourth Proportional to 284,817.40, 427,250.40 and 74,455

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Solution

The fourth proportional to 284,817.40, 427,250.40 and 74,455 is: 111,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,817.40 : 427,250.40 = 74,455 : x
  2. Step 2: Convert to fraction form
    284,817.40/427,250.40 = 74,455/x
  3. Step 3: Cross multiply
    284,817.40x = 427,250.40 × 74,455
  4. Step 4: Simplify right side
    284,817.40x = 31,810,928,532
  5. Step 5: Solve for x
    x = 31,810,928,532/284,817.40
  6. Step 6: Final answer
    x = 111,688.85

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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.