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Finding the Fourth Proportional to 418,311.36, 627,468.80 and 102,768.32

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Solution

The fourth proportional to 418,311.36, 627,468.80 and 102,768.32 is: 154,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,311.36 : 627,468.80 = 102,768.32 : x
  2. Step 2: Convert to fraction form
    418,311.36/627,468.80 = 102,768.32/x
  3. Step 3: Cross multiply
    418,311.36x = 627,468.80 × 102,768.32
  4. Step 4: Simplify right side
    418,311.36x = 64,483,914,428.42
  5. Step 5: Solve for x
    x = 64,483,914,428.42/418,311.36
  6. Step 6: Final answer
    x = 154,152.91

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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.