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Finding the Fourth Proportional to 709,408.21, 978,975.26 and 387,123.79

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Solution

The fourth proportional to 709,408.21, 978,975.26 and 387,123.79 is: 534,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,408.21 : 978,975.26 = 387,123.79 : x
  2. Step 2: Convert to fraction form
    709,408.21/978,975.26 = 387,123.79/x
  3. Step 3: Cross multiply
    709,408.21x = 978,975.26 × 387,123.79
  4. Step 4: Simplify right side
    709,408.21x = 378,984,611,487.81
  5. Step 5: Solve for x
    x = 378,984,611,487.81/709,408.21
  6. Step 6: Final answer
    x = 534,226.43

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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.