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Finding the Fourth Proportional to 415,679.20, 623,702.40 and 202,328.80

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Solution

The fourth proportional to 415,679.20, 623,702.40 and 202,328.80 is: 303,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,679.20 : 623,702.40 = 202,328.80 : x
  2. Step 2: Convert to fraction form
    415,679.20/623,702.40 = 202,328.80/x
  3. Step 3: Cross multiply
    415,679.20x = 623,702.40 × 202,328.80
  4. Step 4: Simplify right side
    415,679.20x = 126,192,958,149.12
  5. Step 5: Solve for x
    x = 126,192,958,149.12/415,679.20
  6. Step 6: Final answer
    x = 303,582.57

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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.