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Finding the Fourth Proportional to 457,816.80, 686,239.20 and 221,005.20

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Solution

The fourth proportional to 457,816.80, 686,239.20 and 221,005.20 is: 331,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,816.80 : 686,239.20 = 221,005.20 : x
  2. Step 2: Convert to fraction form
    457,816.80/686,239.20 = 221,005.20/x
  3. Step 3: Cross multiply
    457,816.80x = 686,239.20 × 221,005.20
  4. Step 4: Simplify right side
    457,816.80x = 151,662,431,643.84
  5. Step 5: Solve for x
    x = 151,662,431,643.84/457,816.80
  6. Step 6: Final answer
    x = 331,273.19

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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.