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Finding the Fourth Proportional to 457,388.80, 686,843.52 and 308,586.40

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Solution

The fourth proportional to 457,388.80, 686,843.52 and 308,586.40 is: 463,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,388.80 : 686,843.52 = 308,586.40 : x
  2. Step 2: Convert to fraction form
    457,388.80/686,843.52 = 308,586.40/x
  3. Step 3: Cross multiply
    457,388.80x = 686,843.52 × 308,586.40
  4. Step 4: Simplify right side
    457,388.80x = 211,950,569,200.13
  5. Step 5: Solve for x
    x = 211,950,569,200.13/457,388.80
  6. Step 6: Final answer
    x = 463,392.56

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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.