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Finding the Fourth Proportional to 557,754, 769,705.46 and 303,105.20

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Solution

The fourth proportional to 557,754, 769,705.46 and 303,105.20 is: 418,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,754 : 769,705.46 = 303,105.20 : x
  2. Step 2: Convert to fraction form
    557,754/769,705.46 = 303,105.20/x
  3. Step 3: Cross multiply
    557,754x = 769,705.46 × 303,105.20
  4. Step 4: Simplify right side
    557,754x = 233,301,727,394.39
  5. Step 5: Solve for x
    x = 233,301,727,394.39/557,754
  6. Step 6: Final answer
    x = 418,287.86

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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.