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Finding the Fourth Proportional to 290,882.76, 401,412.87 and 161,820.60

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Solution

The fourth proportional to 290,882.76, 401,412.87 and 161,820.60 is: 223,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,882.76 : 401,412.87 = 161,820.60 : x
  2. Step 2: Convert to fraction form
    290,882.76/401,412.87 = 161,820.60/x
  3. Step 3: Cross multiply
    290,882.76x = 401,412.87 × 161,820.60
  4. Step 4: Simplify right side
    290,882.76x = 64,956,871,471.12
  5. Step 5: Solve for x
    x = 64,956,871,471.12/290,882.76
  6. Step 6: Final answer
    x = 223,309.46

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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.