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Finding the Fourth Proportional to 402,749.39, 555,796.16 and 221,473.01

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Solution

The fourth proportional to 402,749.39, 555,796.16 and 221,473.01 is: 305,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,749.39 : 555,796.16 = 221,473.01 : x
  2. Step 2: Convert to fraction form
    402,749.39/555,796.16 = 221,473.01/x
  3. Step 3: Cross multiply
    402,749.39x = 555,796.16 × 221,473.01
  4. Step 4: Simplify right side
    402,749.39x = 123,093,848,501.64
  5. Step 5: Solve for x
    x = 123,093,848,501.64/402,749.39
  6. Step 6: Final answer
    x = 305,633.85

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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.