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Finding the Fourth Proportional to 498,731.80, 748,097.70 and 199,258.60

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Solution

The fourth proportional to 498,731.80, 748,097.70 and 199,258.60 is: 298,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,731.80 : 748,097.70 = 199,258.60 : x
  2. Step 2: Convert to fraction form
    498,731.80/748,097.70 = 199,258.60/x
  3. Step 3: Cross multiply
    498,731.80x = 748,097.70 × 199,258.60
  4. Step 4: Simplify right side
    498,731.80x = 149,064,900,365.22
  5. Step 5: Solve for x
    x = 149,064,900,365.22/498,731.80
  6. Step 6: Final answer
    x = 298,887.90

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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.