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Finding the Fourth Proportional to 457,807.20, 686,516.40 and 221,222.40

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Solution

The fourth proportional to 457,807.20, 686,516.40 and 221,222.40 is: 331,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,807.20 : 686,516.40 = 221,222.40 : x
  2. Step 2: Convert to fraction form
    457,807.20/686,516.40 = 221,222.40/x
  3. Step 3: Cross multiply
    457,807.20x = 686,516.40 × 221,222.40
  4. Step 4: Simplify right side
    457,807.20x = 151,872,805,647.36
  5. Step 5: Solve for x
    x = 151,872,805,647.36/457,807.20
  6. Step 6: Final answer
    x = 331,739.66

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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.