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Finding the Fourth Proportional to 531,227.58, 797,308.83 and 278,688.54

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Solution

The fourth proportional to 531,227.58, 797,308.83 and 278,688.54 is: 418,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,227.58 : 797,308.83 = 278,688.54 : x
  2. Step 2: Convert to fraction form
    531,227.58/797,308.83 = 278,688.54/x
  3. Step 3: Cross multiply
    531,227.58x = 797,308.83 × 278,688.54
  4. Step 4: Simplify right side
    531,227.58x = 222,200,833,761.81
  5. Step 5: Solve for x
    x = 222,200,833,761.81/531,227.58
  6. Step 6: Final answer
    x = 418,278.05

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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.