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Finding the Fourth Proportional to 402,804.09, 555,883.92 and 221,530.04

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Solution

The fourth proportional to 402,804.09, 555,883.92 and 221,530.04 is: 305,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,804.09 : 555,883.92 = 221,530.04 : x
  2. Step 2: Convert to fraction form
    402,804.09/555,883.92 = 221,530.04/x
  3. Step 3: Cross multiply
    402,804.09x = 555,883.92 × 221,530.04
  4. Step 4: Simplify right side
    402,804.09x = 123,144,984,253.54
  5. Step 5: Solve for x
    x = 123,144,984,253.54/402,804.09
  6. Step 6: Final answer
    x = 305,719.30

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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.