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Finding the Fourth Proportional to 557,678.94, 769,601.81 and 303,030.12

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Solution

The fourth proportional to 557,678.94, 769,601.81 and 303,030.12 is: 418,184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,678.94 : 769,601.81 = 303,030.12 : x
  2. Step 2: Convert to fraction form
    557,678.94/769,601.81 = 303,030.12/x
  3. Step 3: Cross multiply
    557,678.94x = 769,601.81 × 303,030.12
  4. Step 4: Simplify right side
    557,678.94x = 233,212,527,321.37
  5. Step 5: Solve for x
    x = 233,212,527,321.37/557,678.94
  6. Step 6: Final answer
    x = 418,184.21

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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.