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Finding the Fourth Proportional to 399,752.47, 551,756.37 and 227,771.83

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Solution

The fourth proportional to 399,752.47, 551,756.37 and 227,771.83 is: 314,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,752.47 : 551,756.37 = 227,771.83 : x
  2. Step 2: Convert to fraction form
    399,752.47/551,756.37 = 227,771.83/x
  3. Step 3: Cross multiply
    399,752.47x = 551,756.37 × 227,771.83
  4. Step 4: Simplify right side
    399,752.47x = 125,674,558,109.06
  5. Step 5: Solve for x
    x = 125,674,558,109.06/399,752.47
  6. Step 6: Final answer
    x = 314,380.94

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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.