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Finding the Fourth Proportional to 713,102.80, 984,109.20 and 407,229.04

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Solution

The fourth proportional to 713,102.80, 984,109.20 and 407,229.04 is: 561,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,102.80 : 984,109.20 = 407,229.04 : x
  2. Step 2: Convert to fraction form
    713,102.80/984,109.20 = 407,229.04/x
  3. Step 3: Cross multiply
    713,102.80x = 984,109.20 × 407,229.04
  4. Step 4: Simplify right side
    713,102.80x = 400,757,844,771.17
  5. Step 5: Solve for x
    x = 400,757,844,771.17/713,102.80
  6. Step 6: Final answer
    x = 561,991.69

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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.