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Finding the Fourth Proportional to 428,843.08, 591,803.84 and 237,856.47

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Solution

The fourth proportional to 428,843.08, 591,803.84 and 237,856.47 is: 328,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,843.08 : 591,803.84 = 237,856.47 : x
  2. Step 2: Convert to fraction form
    428,843.08/591,803.84 = 237,856.47/x
  3. Step 3: Cross multiply
    428,843.08x = 591,803.84 × 237,856.47
  4. Step 4: Simplify right side
    428,843.08x = 140,764,372,314.85
  5. Step 5: Solve for x
    x = 140,764,372,314.85/428,843.08
  6. Step 6: Final answer
    x = 328,242.14

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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.