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Finding the Fourth Proportional to 442,118.94, 662,620.05 and 189,098.70

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Solution

The fourth proportional to 442,118.94, 662,620.05 and 189,098.70 is: 283,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,118.94 : 662,620.05 = 189,098.70 : x
  2. Step 2: Convert to fraction form
    442,118.94/662,620.05 = 189,098.70/x
  3. Step 3: Cross multiply
    442,118.94x = 662,620.05 × 189,098.70
  4. Step 4: Simplify right side
    442,118.94x = 125,300,590,048.94
  5. Step 5: Solve for x
    x = 125,300,590,048.94/442,118.94
  6. Step 6: Final answer
    x = 283,409.23

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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.