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Finding the Fourth Proportional to 917,978.20, 1,376,492.04 and 412,103.64

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Solution

The fourth proportional to 917,978.20, 1,376,492.04 and 412,103.64 is: 617,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,978.20 : 1,376,492.04 = 412,103.64 : x
  2. Step 2: Convert to fraction form
    917,978.20/1,376,492.04 = 412,103.64/x
  3. Step 3: Cross multiply
    917,978.20x = 1,376,492.04 × 412,103.64
  4. Step 4: Simplify right side
    917,978.20x = 567,257,380,115.03
  5. Step 5: Solve for x
    x = 567,257,380,115.03/917,978.20
  6. Step 6: Final answer
    x = 617,942.10

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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.