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Finding the Fourth Proportional to 539,102.33, 806,970.71 and 397,107.71

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Solution

The fourth proportional to 539,102.33, 806,970.71 and 397,107.71 is: 594,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,102.33 : 806,970.71 = 397,107.71 : x
  2. Step 2: Convert to fraction form
    539,102.33/806,970.71 = 397,107.71/x
  3. Step 3: Cross multiply
    539,102.33x = 806,970.71 × 397,107.71
  4. Step 4: Simplify right side
    539,102.33x = 320,454,287,643.09
  5. Step 5: Solve for x
    x = 320,454,287,643.09/539,102.33
  6. Step 6: Final answer
    x = 594,422.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.