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Finding the Fourth Proportional to 402,986.48, 556,113.60 and 221,687.84

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Solution

The fourth proportional to 402,986.48, 556,113.60 and 221,687.84 is: 305,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,986.48 : 556,113.60 = 221,687.84 : x
  2. Step 2: Convert to fraction form
    402,986.48/556,113.60 = 221,687.84/x
  3. Step 3: Cross multiply
    402,986.48x = 556,113.60 × 221,687.84
  4. Step 4: Simplify right side
    402,986.48x = 123,283,622,778.62
  5. Step 5: Solve for x
    x = 123,283,622,778.62/402,986.48
  6. Step 6: Final answer
    x = 305,924.96

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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.