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Finding the Fourth Proportional to 442,209.70, 663,314.50 and 109,785.70

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Solution

The fourth proportional to 442,209.70, 663,314.50 and 109,785.70 is: 164,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,209.70 : 663,314.50 = 109,785.70 : x
  2. Step 2: Convert to fraction form
    442,209.70/663,314.50 = 109,785.70/x
  3. Step 3: Cross multiply
    442,209.70x = 663,314.50 × 109,785.70
  4. Step 4: Simplify right side
    442,209.70x = 72,822,446,702.65
  5. Step 5: Solve for x
    x = 72,822,446,702.65/442,209.70
  6. Step 6: Final answer
    x = 164,678.54

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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.