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Finding the Fourth Proportional to 492,081.10, 738,121.65 and 314,788.30

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Solution

The fourth proportional to 492,081.10, 738,121.65 and 314,788.30 is: 472,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,081.10 : 738,121.65 = 314,788.30 : x
  2. Step 2: Convert to fraction form
    492,081.10/738,121.65 = 314,788.30/x
  3. Step 3: Cross multiply
    492,081.10x = 738,121.65 × 314,788.30
  4. Step 4: Simplify right side
    492,081.10x = 232,352,059,396.70
  5. Step 5: Solve for x
    x = 232,352,059,396.70/492,081.10
  6. Step 6: Final answer
    x = 472,182.45

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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.