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Finding the Fourth Proportional to 656,329, 905,734.38 and 354,523

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Solution

The fourth proportional to 656,329, 905,734.38 and 354,523 is: 489,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,329 : 905,734.38 = 354,523 : x
  2. Step 2: Convert to fraction form
    656,329/905,734.38 = 354,523/x
  3. Step 3: Cross multiply
    656,329x = 905,734.38 × 354,523
  4. Step 4: Simplify right side
    656,329x = 321,103,669,600.74
  5. Step 5: Solve for x
    x = 321,103,669,600.74/656,329
  6. Step 6: Final answer
    x = 489,241.93

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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.