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Finding the Fourth Proportional to 282,313.97, 389,593.94 and 154,997.76

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Solution

The fourth proportional to 282,313.97, 389,593.94 and 154,997.76 is: 213,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,313.97 : 389,593.94 = 154,997.76 : x
  2. Step 2: Convert to fraction form
    282,313.97/389,593.94 = 154,997.76/x
  3. Step 3: Cross multiply
    282,313.97x = 389,593.94 × 154,997.76
  4. Step 4: Simplify right side
    282,313.97x = 60,386,188,009.57
  5. Step 5: Solve for x
    x = 60,386,188,009.57/282,313.97
  6. Step 6: Final answer
    x = 213,897.27

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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.