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Finding the Fourth Proportional to 708,722.24, 978,015.30 and 386,438.56

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Solution

The fourth proportional to 708,722.24, 978,015.30 and 386,438.56 is: 533,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,722.24 : 978,015.30 = 386,438.56 : x
  2. Step 2: Convert to fraction form
    708,722.24/978,015.30 = 386,438.56/x
  3. Step 3: Cross multiply
    708,722.24x = 978,015.30 × 386,438.56
  4. Step 4: Simplify right side
    708,722.24x = 377,942,824,189.97
  5. Step 5: Solve for x
    x = 377,942,824,189.97/708,722.24
  6. Step 6: Final answer
    x = 533,273.55

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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.