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Finding the Fourth Proportional to 378,054.96, 521,727.66 and 216,939.48

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Solution

The fourth proportional to 378,054.96, 521,727.66 and 216,939.48 is: 299,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,054.96 : 521,727.66 = 216,939.48 : x
  2. Step 2: Convert to fraction form
    378,054.96/521,727.66 = 216,939.48/x
  3. Step 3: Cross multiply
    378,054.96x = 521,727.66 × 216,939.48
  4. Step 4: Simplify right side
    378,054.96x = 113,183,327,262.02
  5. Step 5: Solve for x
    x = 113,183,327,262.02/378,054.96
  6. Step 6: Final answer
    x = 299,383.26

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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.