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Finding the Fourth Proportional to 310,470.59, 428,489.03 and 189,586.44

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Solution

The fourth proportional to 310,470.59, 428,489.03 and 189,586.44 is: 261,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,470.59 : 428,489.03 = 189,586.44 : x
  2. Step 2: Convert to fraction form
    310,470.59/428,489.03 = 189,586.44/x
  3. Step 3: Cross multiply
    310,470.59x = 428,489.03 × 189,586.44
  4. Step 4: Simplify right side
    310,470.59x = 81,235,710,250.72
  5. Step 5: Solve for x
    x = 81,235,710,250.72/310,470.59
  6. Step 6: Final answer
    x = 261,653.48

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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.