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Finding the Fourth Proportional to 284,312.78, 426,616.77 and 115,956.62

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Solution

The fourth proportional to 284,312.78, 426,616.77 and 115,956.62 is: 173,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,312.78 : 426,616.77 = 115,956.62 : x
  2. Step 2: Convert to fraction form
    284,312.78/426,616.77 = 115,956.62/x
  3. Step 3: Cross multiply
    284,312.78x = 426,616.77 × 115,956.62
  4. Step 4: Simplify right side
    284,312.78x = 49,469,038,684.52
  5. Step 5: Solve for x
    x = 49,469,038,684.52/284,312.78
  6. Step 6: Final answer
    x = 173,995.13

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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.