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Finding the Fourth Proportional to 284,414.49, 426,456.68 and 134,653.51

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Solution

The fourth proportional to 284,414.49, 426,456.68 and 134,653.51 is: 201,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,414.49 : 426,456.68 = 134,653.51 : x
  2. Step 2: Convert to fraction form
    284,414.49/426,456.68 = 134,653.51/x
  3. Step 3: Cross multiply
    284,414.49x = 426,456.68 × 134,653.51
  4. Step 4: Simplify right side
    284,414.49x = 57,423,891,209.66
  5. Step 5: Solve for x
    x = 57,423,891,209.66/284,414.49
  6. Step 6: Final answer
    x = 201,902.13

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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.