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Finding the Fourth Proportional to 400,864.64, 600,862.19 and 200,702.30

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Solution

The fourth proportional to 400,864.64, 600,862.19 and 200,702.30 is: 300,835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,864.64 : 600,862.19 = 200,702.30 : x
  2. Step 2: Convert to fraction form
    400,864.64/600,862.19 = 200,702.30/x
  3. Step 3: Cross multiply
    400,864.64x = 600,862.19 × 200,702.30
  4. Step 4: Simplify right side
    400,864.64x = 120,594,419,508.22
  5. Step 5: Solve for x
    x = 120,594,419,508.22/400,864.64
  6. Step 6: Final answer
    x = 300,835.77

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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.