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Finding the Fourth Proportional to 399,978.34, 551,978.75 and 238,803.32

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Solution

The fourth proportional to 399,978.34, 551,978.75 and 238,803.32 is: 329,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,978.34 : 551,978.75 = 238,803.32 : x
  2. Step 2: Convert to fraction form
    399,978.34/551,978.75 = 238,803.32/x
  3. Step 3: Cross multiply
    399,978.34x = 551,978.75 × 238,803.32
  4. Step 4: Simplify right side
    399,978.34x = 131,814,360,046.41
  5. Step 5: Solve for x
    x = 131,814,360,046.41/399,978.34
  6. Step 6: Final answer
    x = 329,553.75

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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.