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Finding the Fourth Proportional to 489,834.40, 734,578.80 and 223,722.40

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Solution

The fourth proportional to 489,834.40, 734,578.80 and 223,722.40 is: 335,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,834.40 : 734,578.80 = 223,722.40 : x
  2. Step 2: Convert to fraction form
    489,834.40/734,578.80 = 223,722.40/x
  3. Step 3: Cross multiply
    489,834.40x = 734,578.80 × 223,722.40
  4. Step 4: Simplify right side
    489,834.40x = 164,341,732,125.12
  5. Step 5: Solve for x
    x = 164,341,732,125.12/489,834.40
  6. Step 6: Final answer
    x = 335,504.68

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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.