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Finding the Fourth Proportional to 492,690.10, 738,805.50 and 255,969.22

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Solution

The fourth proportional to 492,690.10, 738,805.50 and 255,969.22 is: 383,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,690.10 : 738,805.50 = 255,969.22 : x
  2. Step 2: Convert to fraction form
    492,690.10/738,805.50 = 255,969.22/x
  3. Step 3: Cross multiply
    492,690.10x = 738,805.50 × 255,969.22
  4. Step 4: Simplify right side
    492,690.10x = 189,111,467,566.71
  5. Step 5: Solve for x
    x = 189,111,467,566.71/492,690.10
  6. Step 6: Final answer
    x = 383,834.52

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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.