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Finding the Fourth Proportional to 378,083.90, 521,767.60 and 216,968.42

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Solution

The fourth proportional to 378,083.90, 521,767.60 and 216,968.42 is: 299,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,083.90 : 521,767.60 = 216,968.42 : x
  2. Step 2: Convert to fraction form
    378,083.90/521,767.60 = 216,968.42/x
  3. Step 3: Cross multiply
    378,083.90x = 521,767.60 × 216,968.42
  4. Step 4: Simplify right side
    378,083.90x = 113,207,090,694.35
  5. Step 5: Solve for x
    x = 113,207,090,694.35/378,083.90
  6. Step 6: Final answer
    x = 299,423.20

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1.5x scale

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.