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Finding the Fourth Proportional to 428,138.47, 590,850.54 and 237,151.84

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Solution

The fourth proportional to 428,138.47, 590,850.54 and 237,151.84 is: 327,280.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,138.47 : 590,850.54 = 237,151.84 : x
  2. Step 2: Convert to fraction form
    428,138.47/590,850.54 = 237,151.84/x
  3. Step 3: Cross multiply
    428,138.47x = 590,850.54 × 237,151.84
  4. Step 4: Simplify right side
    428,138.47x = 140,121,292,725.99
  5. Step 5: Solve for x
    x = 140,121,292,725.99/428,138.47
  6. Step 6: Final answer
    x = 327,280.31

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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.