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Finding the Fourth Proportional to 233,285.56, 321,823.20 and 137,728.24

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Solution

The fourth proportional to 233,285.56, 321,823.20 and 137,728.24 is: 189,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,285.56 : 321,823.20 = 137,728.24 : x
  2. Step 2: Convert to fraction form
    233,285.56/321,823.20 = 137,728.24/x
  3. Step 3: Cross multiply
    233,285.56x = 321,823.20 × 137,728.24
  4. Step 4: Simplify right side
    233,285.56x = 44,324,142,927.17
  5. Step 5: Solve for x
    x = 44,324,142,927.17/233,285.56
  6. Step 6: Final answer
    x = 189,999.51

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1.5x scale

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.