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Finding the Fourth Proportional to 492,768.10, 738,115.35 and 409,824.10

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Solution

The fourth proportional to 492,768.10, 738,115.35 and 409,824.10 is: 613,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,768.10 : 738,115.35 = 409,824.10 : x
  2. Step 2: Convert to fraction form
    492,768.10/738,115.35 = 409,824.10/x
  3. Step 3: Cross multiply
    492,768.10x = 738,115.35 × 409,824.10
  4. Step 4: Simplify right side
    492,768.10x = 302,497,459,009.94
  5. Step 5: Solve for x
    x = 302,497,459,009.94/492,768.10
  6. Step 6: Final answer
    x = 613,873.87

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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.