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Finding the Fourth Proportional to 290,043.93, 400,257.58 and 160,983.51

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Solution

The fourth proportional to 290,043.93, 400,257.58 and 160,983.51 is: 222,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,043.93 : 400,257.58 = 160,983.51 : x
  2. Step 2: Convert to fraction form
    290,043.93/400,257.58 = 160,983.51/x
  3. Step 3: Cross multiply
    290,043.93x = 400,257.58 × 160,983.51
  4. Step 4: Simplify right side
    290,043.93x = 64,434,871,911.19
  5. Step 5: Solve for x
    x = 64,434,871,911.19/290,043.93
  6. Step 6: Final answer
    x = 222,155.56

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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.