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Finding the Fourth Proportional to 378,083.84, 521,767.51 and 216,968.36

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Solution

The fourth proportional to 378,083.84, 521,767.51 and 216,968.36 is: 299,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,083.84 : 521,767.51 = 216,968.36 : x
  2. Step 2: Convert to fraction form
    378,083.84/521,767.51 = 216,968.36/x
  3. Step 3: Cross multiply
    378,083.84x = 521,767.51 × 216,968.36
  4. Step 4: Simplify right side
    378,083.84x = 113,207,037,794.73
  5. Step 5: Solve for x
    x = 113,207,037,794.73/378,083.84
  6. Step 6: Final answer
    x = 299,423.11

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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.