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Finding the Fourth Proportional to 321,399.36, 443,422.35 and 185,430.06

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Solution

The fourth proportional to 321,399.36, 443,422.35 and 185,430.06 is: 255,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,399.36 : 443,422.35 = 185,430.06 : x
  2. Step 2: Convert to fraction form
    321,399.36/443,422.35 = 185,430.06/x
  3. Step 3: Cross multiply
    321,399.36x = 443,422.35 × 185,430.06
  4. Step 4: Simplify right side
    321,399.36x = 82,223,832,965.84
  5. Step 5: Solve for x
    x = 82,223,832,965.84/321,399.36
  6. Step 6: Final answer
    x = 255,830.73

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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.