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Finding the Fourth Proportional to 298,941.64, 448,277.52 and 85,660.77

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Solution

The fourth proportional to 298,941.64, 448,277.52 and 85,660.77 is: 128,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,941.64 : 448,277.52 = 85,660.77 : x
  2. Step 2: Convert to fraction form
    298,941.64/448,277.52 = 85,660.77/x
  3. Step 3: Cross multiply
    298,941.64x = 448,277.52 × 85,660.77
  4. Step 4: Simplify right side
    298,941.64x = 38,399,795,034.05
  5. Step 5: Solve for x
    x = 38,399,795,034.05/298,941.64
  6. Step 6: Final answer
    x = 128,452.48

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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.