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Finding the Fourth Proportional to 428,439.74, 590,564.78 and 337,650.08

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Solution

The fourth proportional to 428,439.74, 590,564.78 and 337,650.08 is: 465,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,439.74 : 590,564.78 = 337,650.08 : x
  2. Step 2: Convert to fraction form
    428,439.74/590,564.78 = 337,650.08/x
  3. Step 3: Cross multiply
    428,439.74x = 590,564.78 × 337,650.08
  4. Step 4: Simplify right side
    428,439.74x = 199,404,245,212.18
  5. Step 5: Solve for x
    x = 199,404,245,212.18/428,439.74
  6. Step 6: Final answer
    x = 465,419.58

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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.