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Finding the Fourth Proportional to 347,256, 479,216.16 and 188,280

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Solution

The fourth proportional to 347,256, 479,216.16 and 188,280 is: 259,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,256 : 479,216.16 = 188,280 : x
  2. Step 2: Convert to fraction form
    347,256/479,216.16 = 188,280/x
  3. Step 3: Cross multiply
    347,256x = 479,216.16 × 188,280
  4. Step 4: Simplify right side
    347,256x = 90,226,818,604.80
  5. Step 5: Solve for x
    x = 90,226,818,604.80/347,256
  6. Step 6: Final answer
    x = 259,827.96

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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.