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Finding the Fourth Proportional to 378,044.64, 521,217.36 and 309,810.24

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Solution

The fourth proportional to 378,044.64, 521,217.36 and 309,810.24 is: 427,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,044.64 : 521,217.36 = 309,810.24 : x
  2. Step 2: Convert to fraction form
    378,044.64/521,217.36 = 309,810.24/x
  3. Step 3: Cross multiply
    378,044.64x = 521,217.36 × 309,810.24
  4. Step 4: Simplify right side
    378,044.64x = 161,478,475,393.77
  5. Step 5: Solve for x
    x = 161,478,475,393.77/378,044.64
  6. Step 6: Final answer
    x = 427,141.29

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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.