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Finding the Fourth Proportional to 472,601.32, 709,234.38 and 427,428.52

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Solution

The fourth proportional to 472,601.32, 709,234.38 and 427,428.52 is: 641,443.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,601.32 : 709,234.38 = 427,428.52 : x
  2. Step 2: Convert to fraction form
    472,601.32/709,234.38 = 427,428.52/x
  3. Step 3: Cross multiply
    472,601.32x = 709,234.38 × 427,428.52
  4. Step 4: Simplify right side
    472,601.32x = 303,147,001,376.52
  5. Step 5: Solve for x
    x = 303,147,001,376.52/472,601.32
  6. Step 6: Final answer
    x = 641,443.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.