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Finding the Fourth Proportional to 442,014.19, 662,725.99 and 138,305.50

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Solution

The fourth proportional to 442,014.19, 662,725.99 and 138,305.50 is: 207,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,014.19 : 662,725.99 = 138,305.50 : x
  2. Step 2: Convert to fraction form
    442,014.19/662,725.99 = 138,305.50/x
  3. Step 3: Cross multiply
    442,014.19x = 662,725.99 × 138,305.50
  4. Step 4: Simplify right side
    442,014.19x = 91,658,649,409.95
  5. Step 5: Solve for x
    x = 91,658,649,409.95/442,014.19
  6. Step 6: Final answer
    x = 207,365.85

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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.