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Finding the Fourth Proportional to 644,061.60, 965,708.40 and 394,922.40

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Solution

The fourth proportional to 644,061.60, 965,708.40 and 394,922.40 is: 592,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,061.60 : 965,708.40 = 394,922.40 : x
  2. Step 2: Convert to fraction form
    644,061.60/965,708.40 = 394,922.40/x
  3. Step 3: Cross multiply
    644,061.60x = 965,708.40 × 394,922.40
  4. Step 4: Simplify right side
    644,061.60x = 381,379,879,028.16
  5. Step 5: Solve for x
    x = 381,379,879,028.16/644,061.60
  6. Step 6: Final answer
    x = 592,148.14

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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.