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Finding the Fourth Proportional to 284,006.88, 423,684.52 and 276,284.96

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Solution

The fourth proportional to 284,006.88, 423,684.52 and 276,284.96 is: 412,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,006.88 : 423,684.52 = 276,284.96 : x
  2. Step 2: Convert to fraction form
    284,006.88/423,684.52 = 276,284.96/x
  3. Step 3: Cross multiply
    284,006.88x = 423,684.52 × 276,284.96
  4. Step 4: Simplify right side
    284,006.88x = 117,057,660,660.82
  5. Step 5: Solve for x
    x = 117,057,660,660.82/284,006.88
  6. Step 6: Final answer
    x = 412,164.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.