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Finding the Fourth Proportional to 547,942.50, 756,107.64 and 343,928.16

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Solution

The fourth proportional to 547,942.50, 756,107.64 and 343,928.16 is: 474,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,942.50 : 756,107.64 = 343,928.16 : x
  2. Step 2: Convert to fraction form
    547,942.50/756,107.64 = 343,928.16/x
  3. Step 3: Cross multiply
    547,942.50x = 756,107.64 × 343,928.16
  4. Step 4: Simplify right side
    547,942.50x = 260,046,709,387.14
  5. Step 5: Solve for x
    x = 260,046,709,387.14/547,942.50
  6. Step 6: Final answer
    x = 474,587.59

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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.