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Finding the Fourth Proportional to 428,409.81, 591,808.68 and 396,523.35

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Solution

The fourth proportional to 428,409.81, 591,808.68 and 396,523.35 is: 547,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,409.81 : 591,808.68 = 396,523.35 : x
  2. Step 2: Convert to fraction form
    428,409.81/591,808.68 = 396,523.35/x
  3. Step 3: Cross multiply
    428,409.81x = 591,808.68 × 396,523.35
  4. Step 4: Simplify right side
    428,409.81x = 234,665,960,352.68
  5. Step 5: Solve for x
    x = 234,665,960,352.68/428,409.81
  6. Step 6: Final answer
    x = 547,760.47

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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.