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Finding the Fourth Proportional to 492,585.85, 738,570.62 and 208,129.21

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Solution

The fourth proportional to 492,585.85, 738,570.62 and 208,129.21 is: 312,063.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,585.85 : 738,570.62 = 208,129.21 : x
  2. Step 2: Convert to fraction form
    492,585.85/738,570.62 = 208,129.21/x
  3. Step 3: Cross multiply
    492,585.85x = 738,570.62 × 208,129.21
  4. Step 4: Simplify right side
    492,585.85x = 153,718,118,629.16
  5. Step 5: Solve for x
    x = 153,718,118,629.16/492,585.85
  6. Step 6: Final answer
    x = 312,063.61

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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.