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Finding the Fourth Proportional to 709,046.06, 978,306.46 and 433,333.40

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Solution

The fourth proportional to 709,046.06, 978,306.46 and 433,333.40 is: 597,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,046.06 : 978,306.46 = 433,333.40 : x
  2. Step 2: Convert to fraction form
    709,046.06/978,306.46 = 433,333.40/x
  3. Step 3: Cross multiply
    709,046.06x = 978,306.46 × 433,333.40
  4. Step 4: Simplify right side
    709,046.06x = 423,932,858,578.90
  5. Step 5: Solve for x
    x = 423,932,858,578.90/709,046.06
  6. Step 6: Final answer
    x = 597,891.85

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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.