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Finding the Fourth Proportional to 457,056, 685,584 and 194,400

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Solution

The fourth proportional to 457,056, 685,584 and 194,400 is: 291,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,056 : 685,584 = 194,400 : x
  2. Step 2: Convert to fraction form
    457,056/685,584 = 194,400/x
  3. Step 3: Cross multiply
    457,056x = 685,584 × 194,400
  4. Step 4: Simplify right side
    457,056x = 133,277,529,600
  5. Step 5: Solve for x
    x = 133,277,529,600/457,056
  6. Step 6: Final answer
    x = 291,600

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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.