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Finding the Fourth Proportional to 298,651.20, 448,041.68 and 138,825.24

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Solution

The fourth proportional to 298,651.20, 448,041.68 and 138,825.24 is: 208,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,651.20 : 448,041.68 = 138,825.24 : x
  2. Step 2: Convert to fraction form
    298,651.20/448,041.68 = 138,825.24/x
  3. Step 3: Cross multiply
    298,651.20x = 448,041.68 × 138,825.24
  4. Step 4: Simplify right side
    298,651.20x = 62,199,493,756.00
  5. Step 5: Solve for x
    x = 62,199,493,756.00/298,651.20
  6. Step 6: Final answer
    x = 208,268.02

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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.