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Finding the Fourth Proportional to 378,888.96, 522,863.28 and 206,805.20

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Solution

The fourth proportional to 378,888.96, 522,863.28 and 206,805.20 is: 285,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.96 : 522,863.28 = 206,805.20 : x
  2. Step 2: Convert to fraction form
    378,888.96/522,863.28 = 206,805.20/x
  3. Step 3: Cross multiply
    378,888.96x = 522,863.28 × 206,805.20
  4. Step 4: Simplify right side
    378,888.96x = 108,130,845,193.06
  5. Step 5: Solve for x
    x = 108,130,845,193.06/378,888.96
  6. Step 6: Final answer
    x = 285,389.27

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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.