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Finding the Fourth Proportional to 428,216.33, 590,959.63 and 237,230.48

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Solution

The fourth proportional to 428,216.33, 590,959.63 and 237,230.48 is: 327,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,216.33 : 590,959.63 = 237,230.48 : x
  2. Step 2: Convert to fraction form
    428,216.33/590,959.63 = 237,230.48/x
  3. Step 3: Cross multiply
    428,216.33x = 590,959.63 × 237,230.48
  4. Step 4: Simplify right side
    428,216.33x = 140,193,638,459.46
  5. Step 5: Solve for x
    x = 140,193,638,459.46/428,216.33
  6. Step 6: Final answer
    x = 327,389.75

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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.