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Finding the Fourth Proportional to 399,775.64, 551,689.45 and 227,693.57

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Solution

The fourth proportional to 399,775.64, 551,689.45 and 227,693.57 is: 314,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,775.64 : 551,689.45 = 227,693.57 : x
  2. Step 2: Convert to fraction form
    399,775.64/551,689.45 = 227,693.57/x
  3. Step 3: Cross multiply
    399,775.64x = 551,689.45 × 227,693.57
  4. Step 4: Simplify right side
    399,775.64x = 125,616,137,074.16
  5. Step 5: Solve for x
    x = 125,616,137,074.16/399,775.64
  6. Step 6: Final answer
    x = 314,216.59

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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.