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Finding the Fourth Proportional to 656,471.25, 905,930.33 and 354,665.25

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Solution

The fourth proportional to 656,471.25, 905,930.33 and 354,665.25 is: 489,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,471.25 : 905,930.33 = 354,665.25 : x
  2. Step 2: Convert to fraction form
    656,471.25/905,930.33 = 354,665.25/x
  3. Step 3: Cross multiply
    656,471.25x = 905,930.33 × 354,665.25
  4. Step 4: Simplify right side
    656,471.25x = 321,302,005,198.71
  5. Step 5: Solve for x
    x = 321,302,005,198.71/656,471.25
  6. Step 6: Final answer
    x = 489,438.05

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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.