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Finding the Fourth Proportional to 213,365.34, 320,695.92 and 142,539.30

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Solution

The fourth proportional to 213,365.34, 320,695.92 and 142,539.30 is: 214,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,365.34 : 320,695.92 = 142,539.30 : x
  2. Step 2: Convert to fraction form
    213,365.34/320,695.92 = 142,539.30/x
  3. Step 3: Cross multiply
    213,365.34x = 320,695.92 × 142,539.30
  4. Step 4: Simplify right side
    213,365.34x = 45,711,771,949.66
  5. Step 5: Solve for x
    x = 45,711,771,949.66/213,365.34
  6. Step 6: Final answer
    x = 214,241.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.