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Finding the Fourth Proportional to 709,028.46, 978,472.49 and 386,750.12

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Solution

The fourth proportional to 709,028.46, 978,472.49 and 386,750.12 is: 533,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,028.46 : 978,472.49 = 386,750.12 : x
  2. Step 2: Convert to fraction form
    709,028.46/978,472.49 = 386,750.12/x
  3. Step 3: Cross multiply
    709,028.46x = 978,472.49 × 386,750.12
  4. Step 4: Simplify right side
    709,028.46x = 378,424,346,098.09
  5. Step 5: Solve for x
    x = 378,424,346,098.09/709,028.46
  6. Step 6: Final answer
    x = 533,722.36

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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.