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Finding the Fourth Proportional to 284,313.16, 426,351.85 and 115,719.06

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Solution

The fourth proportional to 284,313.16, 426,351.85 and 115,719.06 is: 173,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,313.16 : 426,351.85 = 115,719.06 : x
  2. Step 2: Convert to fraction form
    284,313.16/426,351.85 = 115,719.06/x
  3. Step 3: Cross multiply
    284,313.16x = 426,351.85 × 115,719.06
  4. Step 4: Simplify right side
    284,313.16x = 49,337,035,311.26
  5. Step 5: Solve for x
    x = 49,337,035,311.26/284,313.16
  6. Step 6: Final answer
    x = 173,530.61

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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.