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Finding the Fourth Proportional to 310,211.90, 428,042.24 and 193,911.77

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Solution

The fourth proportional to 310,211.90, 428,042.24 and 193,911.77 is: 267,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,211.90 : 428,042.24 = 193,911.77 : x
  2. Step 2: Convert to fraction form
    310,211.90/428,042.24 = 193,911.77/x
  3. Step 3: Cross multiply
    310,211.90x = 428,042.24 × 193,911.77
  4. Step 4: Simplify right side
    310,211.90x = 83,002,426,010.56
  5. Step 5: Solve for x
    x = 83,002,426,010.56/310,211.90
  6. Step 6: Final answer
    x = 267,566.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.