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Finding the Fourth Proportional to 399,798.16, 551,752.86 and 227,723.38

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Solution

The fourth proportional to 399,798.16, 551,752.86 and 227,723.38 is: 314,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,798.16 : 551,752.86 = 227,723.38 : x
  2. Step 2: Convert to fraction form
    399,798.16/551,752.86 = 227,723.38/x
  3. Step 3: Cross multiply
    399,798.16x = 551,752.86 × 227,723.38
  4. Step 4: Simplify right side
    399,798.16x = 125,647,026,203.87
  5. Step 5: Solve for x
    x = 125,647,026,203.87/399,798.16
  6. Step 6: Final answer
    x = 314,276.15

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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.