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Finding the Fourth Proportional to 347,469.84, 479,425.68 and 211,502.16

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Solution

The fourth proportional to 347,469.84, 479,425.68 and 211,502.16 is: 291,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,469.84 : 479,425.68 = 211,502.16 : x
  2. Step 2: Convert to fraction form
    347,469.84/479,425.68 = 211,502.16/x
  3. Step 3: Cross multiply
    347,469.84x = 479,425.68 × 211,502.16
  4. Step 4: Simplify right side
    347,469.84x = 101,399,566,879.47
  5. Step 5: Solve for x
    x = 101,399,566,879.47/347,469.84
  6. Step 6: Final answer
    x = 291,822.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.