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Finding the Fourth Proportional to 709,408.34, 978,975.44 and 387,123.92

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Solution

The fourth proportional to 709,408.34, 978,975.44 and 387,123.92 is: 534,226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,408.34 : 978,975.44 = 387,123.92 : x
  2. Step 2: Convert to fraction form
    709,408.34/978,975.44 = 387,123.92/x
  3. Step 3: Cross multiply
    709,408.34x = 978,975.44 × 387,123.92
  4. Step 4: Simplify right side
    709,408.34x = 378,984,809,916.53
  5. Step 5: Solve for x
    x = 378,984,809,916.53/709,408.34
  6. Step 6: Final answer
    x = 534,226.61

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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.