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Finding the Fourth Proportional to 601,687.82, 830,335.56 and 329,749.75

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Solution

The fourth proportional to 601,687.82, 830,335.56 and 329,749.75 is: 455,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,687.82 : 830,335.56 = 329,749.75 : x
  2. Step 2: Convert to fraction form
    601,687.82/830,335.56 = 329,749.75/x
  3. Step 3: Cross multiply
    601,687.82x = 830,335.56 × 329,749.75
  4. Step 4: Simplify right side
    601,687.82x = 273,802,939,624.49
  5. Step 5: Solve for x
    x = 273,802,939,624.49/601,687.82
  6. Step 6: Final answer
    x = 455,058.14

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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.