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Finding the Fourth Proportional to 402,908, 556,025.28 and 221,610.56

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Solution

The fourth proportional to 402,908, 556,025.28 and 221,610.56 is: 305,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,908 : 556,025.28 = 221,610.56 : x
  2. Step 2: Convert to fraction form
    402,908/556,025.28 = 221,610.56/x
  3. Step 3: Cross multiply
    402,908x = 556,025.28 × 221,610.56
  4. Step 4: Simplify right side
    402,908x = 123,221,073,674.96
  5. Step 5: Solve for x
    x = 123,221,073,674.96/402,908
  6. Step 6: Final answer
    x = 305,829.31

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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.