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Finding the Fourth Proportional to 402,904.53, 555,996.64 and 221,616.45

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Solution

The fourth proportional to 402,904.53, 555,996.64 and 221,616.45 is: 305,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,904.53 : 555,996.64 = 221,616.45 : x
  2. Step 2: Convert to fraction form
    402,904.53/555,996.64 = 221,616.45/x
  3. Step 3: Cross multiply
    402,904.53x = 555,996.64 × 221,616.45
  4. Step 4: Simplify right side
    402,904.53x = 123,218,001,568.73
  5. Step 5: Solve for x
    x = 123,218,001,568.73/402,904.53
  6. Step 6: Final answer
    x = 305,824.31

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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.