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Finding the Fourth Proportional to 457,813.20, 686,525.40 and 221,228.40

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Solution

The fourth proportional to 457,813.20, 686,525.40 and 221,228.40 is: 331,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,813.20 : 686,525.40 = 221,228.40 : x
  2. Step 2: Convert to fraction form
    457,813.20/686,525.40 = 221,228.40/x
  3. Step 3: Cross multiply
    457,813.20x = 686,525.40 × 221,228.40
  4. Step 4: Simplify right side
    457,813.20x = 151,878,915,801.36
  5. Step 5: Solve for x
    x = 151,878,915,801.36/457,813.20
  6. Step 6: Final answer
    x = 331,748.66

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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.