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Finding the Fourth Proportional to 310,294.86, 428,108.50 and 189,375.63

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Solution

The fourth proportional to 310,294.86, 428,108.50 and 189,375.63 is: 261,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,294.86 : 428,108.50 = 189,375.63 : x
  2. Step 2: Convert to fraction form
    310,294.86/428,108.50 = 189,375.63/x
  3. Step 3: Cross multiply
    310,294.86x = 428,108.50 × 189,375.63
  4. Step 4: Simplify right side
    310,294.86x = 81,073,317,605.22
  5. Step 5: Solve for x
    x = 81,073,317,605.22/310,294.86
  6. Step 6: Final answer
    x = 261,278.31

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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.