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Finding the Fourth Proportional to 493,378.12, 740,012.10 and 138,405.88

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Solution

The fourth proportional to 493,378.12, 740,012.10 and 138,405.88 is: 207,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,378.12 : 740,012.10 = 138,405.88 : x
  2. Step 2: Convert to fraction form
    493,378.12/740,012.10 = 138,405.88/x
  3. Step 3: Cross multiply
    493,378.12x = 740,012.10 × 138,405.88
  4. Step 4: Simplify right side
    493,378.12x = 102,422,025,911.15
  5. Step 5: Solve for x
    x = 102,422,025,911.15/493,378.12
  6. Step 6: Final answer
    x = 207,593.37

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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.