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Finding the Fourth Proportional to 223,449.84, 308,418.84 and 147,970.80

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Solution

The fourth proportional to 223,449.84, 308,418.84 and 147,970.80 is: 204,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,449.84 : 308,418.84 = 147,970.80 : x
  2. Step 2: Convert to fraction form
    223,449.84/308,418.84 = 147,970.80/x
  3. Step 3: Cross multiply
    223,449.84x = 308,418.84 × 147,970.80
  4. Step 4: Simplify right side
    223,449.84x = 45,636,982,489.87
  5. Step 5: Solve for x
    x = 45,636,982,489.87/223,449.84
  6. Step 6: Final answer
    x = 204,238.15

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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.