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Finding the Fourth Proportional to 284,422.51, 426,758.24 and 134,769.61

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Solution

The fourth proportional to 284,422.51, 426,758.24 and 134,769.61 is: 202,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,422.51 : 426,758.24 = 134,769.61 : x
  2. Step 2: Convert to fraction form
    284,422.51/426,758.24 = 134,769.61/x
  3. Step 3: Cross multiply
    284,422.51x = 426,758.24 × 134,769.61
  4. Step 4: Simplify right side
    284,422.51x = 57,514,041,569.09
  5. Step 5: Solve for x
    x = 57,514,041,569.09/284,422.51
  6. Step 6: Final answer
    x = 202,213.40

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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.