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Finding the Fourth Proportional to 428,420.73, 591,217 and 234,839.24

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Solution

The fourth proportional to 428,420.73, 591,217 and 234,839.24 is: 324,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,420.73 : 591,217 = 234,839.24 : x
  2. Step 2: Convert to fraction form
    428,420.73/591,217 = 234,839.24/x
  3. Step 3: Cross multiply
    428,420.73x = 591,217 × 234,839.24
  4. Step 4: Simplify right side
    428,420.73x = 138,840,950,955.08
  5. Step 5: Solve for x
    x = 138,840,950,955.08/428,420.73
  6. Step 6: Final answer
    x = 324,076.17

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1.5x scale

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.