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Finding the Fourth Proportional to 493,323.30, 739,901.49 and 138,255.60

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Solution

The fourth proportional to 493,323.30, 739,901.49 and 138,255.60 is: 207,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323.30 : 739,901.49 = 138,255.60 : x
  2. Step 2: Convert to fraction form
    493,323.30/739,901.49 = 138,255.60/x
  3. Step 3: Cross multiply
    493,323.30x = 739,901.49 × 138,255.60
  4. Step 4: Simplify right side
    493,323.30x = 102,295,524,440.84
  5. Step 5: Solve for x
    x = 102,295,524,440.84/493,323.30
  6. Step 6: Final answer
    x = 207,360.01

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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.