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Finding the Fourth Proportional to 232,736.64, 320,509.80 and 221,539.20

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Solution

The fourth proportional to 232,736.64, 320,509.80 and 221,539.20 is: 305,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736.64 : 320,509.80 = 221,539.20 : x
  2. Step 2: Convert to fraction form
    232,736.64/320,509.80 = 221,539.20/x
  3. Step 3: Cross multiply
    232,736.64x = 320,509.80 × 221,539.20
  4. Step 4: Simplify right side
    232,736.64x = 71,005,484,684.16
  5. Step 5: Solve for x
    x = 71,005,484,684.16/232,736.64
  6. Step 6: Final answer
    x = 305,089.41

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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.