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Finding the Fourth Proportional to 233,069.64, 321,660.80 and 142,478.64

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Solution

The fourth proportional to 233,069.64, 321,660.80 and 142,478.64 is: 196,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,069.64 : 321,660.80 = 142,478.64 : x
  2. Step 2: Convert to fraction form
    233,069.64/321,660.80 = 142,478.64/x
  3. Step 3: Cross multiply
    233,069.64x = 321,660.80 × 142,478.64
  4. Step 4: Simplify right side
    233,069.64x = 45,829,792,612.92
  5. Step 5: Solve for x
    x = 45,829,792,612.92/233,069.64
  6. Step 6: Final answer
    x = 196,635.62

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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.