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Finding the Fourth Proportional to 402,654.56, 555,649.13 and 221,365.18

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Solution

The fourth proportional to 402,654.56, 555,649.13 and 221,365.18 is: 305,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,654.56 : 555,649.13 = 221,365.18 : x
  2. Step 2: Convert to fraction form
    402,654.56/555,649.13 = 221,365.18/x
  3. Step 3: Cross multiply
    402,654.56x = 555,649.13 × 221,365.18
  4. Step 4: Simplify right side
    402,654.56x = 123,001,368,843.58
  5. Step 5: Solve for x
    x = 123,001,368,843.58/402,654.56
  6. Step 6: Final answer
    x = 305,476.16

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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.