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Finding the Fourth Proportional to 378,085.01, 521,769.14 and 216,969.53

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Solution

The fourth proportional to 378,085.01, 521,769.14 and 216,969.53 is: 299,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,085.01 : 521,769.14 = 216,969.53 : x
  2. Step 2: Convert to fraction form
    378,085.01/521,769.14 = 216,969.53/x
  3. Step 3: Cross multiply
    378,085.01x = 521,769.14 × 216,969.53
  4. Step 4: Simplify right side
    378,085.01x = 113,208,003,337.25
  5. Step 5: Solve for x
    x = 113,208,003,337.25/378,085.01
  6. Step 6: Final answer
    x = 299,424.73

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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.