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Finding the Fourth Proportional to 428,144.64, 590,798.88 and 237,153.96

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Solution

The fourth proportional to 428,144.64, 590,798.88 and 237,153.96 is: 327,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,144.64 : 590,798.88 = 237,153.96 : x
  2. Step 2: Convert to fraction form
    428,144.64/590,798.88 = 237,153.96/x
  3. Step 3: Cross multiply
    428,144.64x = 590,798.88 × 237,153.96
  4. Step 4: Simplify right side
    428,144.64x = 140,110,293,955.57
  5. Step 5: Solve for x
    x = 140,110,293,955.57/428,144.64
  6. Step 6: Final answer
    x = 327,249.91

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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.