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Finding the Fourth Proportional to 492,690.35, 738,805.87 and 255,969.47

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Solution

The fourth proportional to 492,690.35, 738,805.87 and 255,969.47 is: 383,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,690.35 : 738,805.87 = 255,969.47 : x
  2. Step 2: Convert to fraction form
    492,690.35/738,805.87 = 255,969.47/x
  3. Step 3: Cross multiply
    492,690.35x = 738,805.87 × 255,969.47
  4. Step 4: Simplify right side
    492,690.35x = 189,111,746,976.79
  5. Step 5: Solve for x
    x = 189,111,746,976.79/492,690.35
  6. Step 6: Final answer
    x = 383,834.89

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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.