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Finding the Fourth Proportional to 713,659.31, 984,759.09 and 407,755.50

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Solution

The fourth proportional to 713,659.31, 984,759.09 and 407,755.50 is: 562,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,659.31 : 984,759.09 = 407,755.50 : x
  2. Step 2: Convert to fraction form
    713,659.31/984,759.09 = 407,755.50/x
  3. Step 3: Cross multiply
    713,659.31x = 984,759.09 × 407,755.50
  4. Step 4: Simplify right side
    713,659.31x = 401,540,935,122.50
  5. Step 5: Solve for x
    x = 401,540,935,122.50/713,659.31
  6. Step 6: Final answer
    x = 562,650.74

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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.