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Finding the Fourth Proportional to 534,509, 737,634.33 and 305,061.68

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Solution

The fourth proportional to 534,509, 737,634.33 and 305,061.68 is: 420,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,509 : 737,634.33 = 305,061.68 : x
  2. Step 2: Convert to fraction form
    534,509/737,634.33 = 305,061.68/x
  3. Step 3: Cross multiply
    534,509x = 737,634.33 × 305,061.68
  4. Step 4: Simplify right side
    534,509x = 225,023,967,935.47
  5. Step 5: Solve for x
    x = 225,023,967,935.47/534,509
  6. Step 6: Final answer
    x = 420,991.92

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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.