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Finding the Fourth Proportional to 338,977.60, 508,984.80 and 199,009.60

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Solution

The fourth proportional to 338,977.60, 508,984.80 and 199,009.60 is: 298,818.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,977.60 : 508,984.80 = 199,009.60 : x
  2. Step 2: Convert to fraction form
    338,977.60/508,984.80 = 199,009.60/x
  3. Step 3: Cross multiply
    338,977.60x = 508,984.80 × 199,009.60
  4. Step 4: Simplify right side
    338,977.60x = 101,292,861,454.08
  5. Step 5: Solve for x
    x = 101,292,861,454.08/338,977.60
  6. Step 6: Final answer
    x = 298,818.75

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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.