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Finding the Fourth Proportional to 265,793.80, 398,690.70 and 133,083.40

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Solution

The fourth proportional to 265,793.80, 398,690.70 and 133,083.40 is: 199,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,793.80 : 398,690.70 = 133,083.40 : x
  2. Step 2: Convert to fraction form
    265,793.80/398,690.70 = 133,083.40/x
  3. Step 3: Cross multiply
    265,793.80x = 398,690.70 × 133,083.40
  4. Step 4: Simplify right side
    265,793.80x = 53,059,113,904.38
  5. Step 5: Solve for x
    x = 53,059,113,904.38/265,793.80
  6. Step 6: Final answer
    x = 199,625.10

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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.