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Finding the Fourth Proportional to 428,223.60, 590,953.32 and 237,240

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Solution

The fourth proportional to 428,223.60, 590,953.32 and 237,240 is: 327,393.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,223.60 : 590,953.32 = 237,240 : x
  2. Step 2: Convert to fraction form
    428,223.60/590,953.32 = 237,240/x
  3. Step 3: Cross multiply
    428,223.60x = 590,953.32 × 237,240
  4. Step 4: Simplify right side
    428,223.60x = 140,197,765,636.80
  5. Step 5: Solve for x
    x = 140,197,765,636.80/428,223.60
  6. Step 6: Final answer
    x = 327,393.83

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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.