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Finding the Fourth Proportional to 516,727.69, 713,099.70 and 284,142.60

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Solution

The fourth proportional to 516,727.69, 713,099.70 and 284,142.60 is: 392,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,727.69 : 713,099.70 = 284,142.60 : x
  2. Step 2: Convert to fraction form
    516,727.69/713,099.70 = 284,142.60/x
  3. Step 3: Cross multiply
    516,727.69x = 713,099.70 × 284,142.60
  4. Step 4: Simplify right side
    516,727.69x = 202,622,002,817.22
  5. Step 5: Solve for x
    x = 202,622,002,817.22/516,727.69
  6. Step 6: Final answer
    x = 392,125.31

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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.