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Finding the Fourth Proportional to 288,882.91, 398,657.05 and 161,559.01

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Solution

The fourth proportional to 288,882.91, 398,657.05 and 161,559.01 is: 222,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,882.91 : 398,657.05 = 161,559.01 : x
  2. Step 2: Convert to fraction form
    288,882.91/398,657.05 = 161,559.01/x
  3. Step 3: Cross multiply
    288,882.91x = 398,657.05 × 161,559.01
  4. Step 4: Simplify right side
    288,882.91x = 64,406,638,327.52
  5. Step 5: Solve for x
    x = 64,406,638,327.52/288,882.91
  6. Step 6: Final answer
    x = 222,950.67

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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.