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Finding the Fourth Proportional to 399,289.90, 551,032.12 and 227,232.55

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Solution

The fourth proportional to 399,289.90, 551,032.12 and 227,232.55 is: 313,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,289.90 : 551,032.12 = 227,232.55 : x
  2. Step 2: Convert to fraction form
    399,289.90/551,032.12 = 227,232.55/x
  3. Step 3: Cross multiply
    399,289.90x = 551,032.12 × 227,232.55
  4. Step 4: Simplify right side
    399,289.90x = 125,212,431,820.51
  5. Step 5: Solve for x
    x = 125,212,431,820.51/399,289.90
  6. Step 6: Final answer
    x = 313,587.77

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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.