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Finding the Fourth Proportional to 416,142.72, 623,951.64 and 229,285.44

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Solution

The fourth proportional to 416,142.72, 623,951.64 and 229,285.44 is: 343,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,142.72 : 623,951.64 = 229,285.44 : x
  2. Step 2: Convert to fraction form
    416,142.72/623,951.64 = 229,285.44/x
  3. Step 3: Cross multiply
    416,142.72x = 623,951.64 × 229,285.44
  4. Step 4: Simplify right side
    416,142.72x = 143,063,026,316.12
  5. Step 5: Solve for x
    x = 143,063,026,316.12/416,142.72
  6. Step 6: Final answer
    x = 343,783.56

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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.