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Finding the Fourth Proportional to 442,702.32, 663,971.40 and 190,027.68

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Solution

The fourth proportional to 442,702.32, 663,971.40 and 190,027.68 is: 285,006.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,702.32 : 663,971.40 = 190,027.68 : x
  2. Step 2: Convert to fraction form
    442,702.32/663,971.40 = 190,027.68/x
  3. Step 3: Cross multiply
    442,702.32x = 663,971.40 × 190,027.68
  4. Step 4: Simplify right side
    442,702.32x = 126,172,944,728.35
  5. Step 5: Solve for x
    x = 126,172,944,728.35/442,702.32
  6. Step 6: Final answer
    x = 285,006.29

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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.