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Finding the Fourth Proportional to 407,940.60, 562,878.54 and 238,181.88

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Solution

The fourth proportional to 407,940.60, 562,878.54 and 238,181.88 is: 328,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,940.60 : 562,878.54 = 238,181.88 : x
  2. Step 2: Convert to fraction form
    407,940.60/562,878.54 = 238,181.88/x
  3. Step 3: Cross multiply
    407,940.60x = 562,878.54 × 238,181.88
  4. Step 4: Simplify right side
    407,940.60x = 134,067,468,868.86
  5. Step 5: Solve for x
    x = 134,067,468,868.86/407,940.60
  6. Step 6: Final answer
    x = 328,644.58

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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.