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Finding the Fourth Proportional to 457,813.80, 686,720.70 and 300,133.80

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Solution

The fourth proportional to 457,813.80, 686,720.70 and 300,133.80 is: 450,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,813.80 : 686,720.70 = 300,133.80 : x
  2. Step 2: Convert to fraction form
    457,813.80/686,720.70 = 300,133.80/x
  3. Step 3: Cross multiply
    457,813.80x = 686,720.70 × 300,133.80
  4. Step 4: Simplify right side
    457,813.80x = 206,108,093,229.66
  5. Step 5: Solve for x
    x = 206,108,093,229.66/457,813.80
  6. Step 6: Final answer
    x = 450,200.70

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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.