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Finding the Fourth Proportional to 512,822.60, 769,233.90 and 247,102.10

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Solution

The fourth proportional to 512,822.60, 769,233.90 and 247,102.10 is: 370,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,822.60 : 769,233.90 = 247,102.10 : x
  2. Step 2: Convert to fraction form
    512,822.60/769,233.90 = 247,102.10/x
  3. Step 3: Cross multiply
    512,822.60x = 769,233.90 × 247,102.10
  4. Step 4: Simplify right side
    512,822.60x = 190,079,312,081.19
  5. Step 5: Solve for x
    x = 190,079,312,081.19/512,822.60
  6. Step 6: Final answer
    x = 370,653.15

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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.