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Finding the Fourth Proportional to 465,433.20, 698,149.80 and 288,286.20

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Solution

The fourth proportional to 465,433.20, 698,149.80 and 288,286.20 is: 432,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,433.20 : 698,149.80 = 288,286.20 : x
  2. Step 2: Convert to fraction form
    465,433.20/698,149.80 = 288,286.20/x
  3. Step 3: Cross multiply
    465,433.20x = 698,149.80 × 288,286.20
  4. Step 4: Simplify right side
    465,433.20x = 201,266,952,872.76
  5. Step 5: Solve for x
    x = 201,266,952,872.76/465,433.20
  6. Step 6: Final answer
    x = 432,429.30

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1.5x scale

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.