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Finding the Fourth Proportional to 428,956.41, 591,421.24 and 314,035.54

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Solution

The fourth proportional to 428,956.41, 591,421.24 and 314,035.54 is: 432,974.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,956.41 : 591,421.24 = 314,035.54 : x
  2. Step 2: Convert to fraction form
    428,956.41/591,421.24 = 314,035.54/x
  3. Step 3: Cross multiply
    428,956.41x = 591,421.24 × 314,035.54
  4. Step 4: Simplify right side
    428,956.41x = 185,727,290,122.79
  5. Step 5: Solve for x
    x = 185,727,290,122.79/428,956.41
  6. Step 6: Final answer
    x = 432,974.74

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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.