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Finding the Fourth Proportional to 472,642.43, 708,502.32 and 188,247.68

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Solution

The fourth proportional to 472,642.43, 708,502.32 and 188,247.68 is: 282,187.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,642.43 : 708,502.32 = 188,247.68 : x
  2. Step 2: Convert to fraction form
    472,642.43/708,502.32 = 188,247.68/x
  3. Step 3: Cross multiply
    472,642.43x = 708,502.32 × 188,247.68
  4. Step 4: Simplify right side
    472,642.43x = 133,373,917,128.99
  5. Step 5: Solve for x
    x = 133,373,917,128.99/472,642.43
  6. Step 6: Final answer
    x = 282,187.78

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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.