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Finding the Fourth Proportional to 378,085.51, 521,769.83 and 216,970.03

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Solution

The fourth proportional to 378,085.51, 521,769.83 and 216,970.03 is: 299,425.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,085.51 : 521,769.83 = 216,970.03 : x
  2. Step 2: Convert to fraction form
    378,085.51/521,769.83 = 216,970.03/x
  3. Step 3: Cross multiply
    378,085.51x = 521,769.83 × 216,970.03
  4. Step 4: Simplify right side
    378,085.51x = 113,208,414,583.35
  5. Step 5: Solve for x
    x = 113,208,414,583.35/378,085.51
  6. Step 6: Final answer
    x = 299,425.43

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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.