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Finding the Fourth Proportional to 427,253.54, 589,476.69 and 284,037.84

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Solution

The fourth proportional to 427,253.54, 589,476.69 and 284,037.84 is: 391,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,253.54 : 589,476.69 = 284,037.84 : x
  2. Step 2: Convert to fraction form
    427,253.54/589,476.69 = 284,037.84/x
  3. Step 3: Cross multiply
    427,253.54x = 589,476.69 × 284,037.84
  4. Step 4: Simplify right side
    427,253.54x = 167,433,685,757.95
  5. Step 5: Solve for x
    x = 167,433,685,757.95/427,253.54
  6. Step 6: Final answer
    x = 391,883.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.