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Finding the Fourth Proportional to 559,771.44, 771,874.12 and 378,168.04

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Solution

The fourth proportional to 559,771.44, 771,874.12 and 378,168.04 is: 521,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,771.44 : 771,874.12 = 378,168.04 : x
  2. Step 2: Convert to fraction form
    559,771.44/771,874.12 = 378,168.04/x
  3. Step 3: Cross multiply
    559,771.44x = 771,874.12 × 378,168.04
  4. Step 4: Simplify right side
    559,771.44x = 291,898,121,196.29
  5. Step 5: Solve for x
    x = 291,898,121,196.29/559,771.44
  6. Step 6: Final answer
    x = 521,459.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.