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Finding the Fourth Proportional to 288,206.16, 397,764.48 and 160,890

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Solution

The fourth proportional to 288,206.16, 397,764.48 and 160,890 is: 222,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,206.16 : 397,764.48 = 160,890 : x
  2. Step 2: Convert to fraction form
    288,206.16/397,764.48 = 160,890/x
  3. Step 3: Cross multiply
    288,206.16x = 397,764.48 × 160,890
  4. Step 4: Simplify right side
    288,206.16x = 63,996,327,187.20
  5. Step 5: Solve for x
    x = 63,996,327,187.20/288,206.16
  6. Step 6: Final answer
    x = 222,050.52

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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.