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Finding the Fourth Proportional to 561,952.28, 775,500.27 and 307,298

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Solution

The fourth proportional to 561,952.28, 775,500.27 and 307,298 is: 424,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,952.28 : 775,500.27 = 307,298 : x
  2. Step 2: Convert to fraction form
    561,952.28/775,500.27 = 307,298/x
  3. Step 3: Cross multiply
    561,952.28x = 775,500.27 × 307,298
  4. Step 4: Simplify right side
    561,952.28x = 238,309,681,970.46
  5. Step 5: Solve for x
    x = 238,309,681,970.46/561,952.28
  6. Step 6: Final answer
    x = 424,074.59

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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.