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Finding the Fourth Proportional to 457,864.80, 686,311.20 and 221,053.20

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Solution

The fourth proportional to 457,864.80, 686,311.20 and 221,053.20 is: 331,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,864.80 : 686,311.20 = 221,053.20 : x
  2. Step 2: Convert to fraction form
    457,864.80/686,311.20 = 221,053.20/x
  3. Step 3: Cross multiply
    457,864.80x = 686,311.20 × 221,053.20
  4. Step 4: Simplify right side
    457,864.80x = 151,711,286,955.84
  5. Step 5: Solve for x
    x = 151,711,286,955.84/457,864.80
  6. Step 6: Final answer
    x = 331,345.16

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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.