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Finding the Fourth Proportional to 288,267.84, 397,783.44 and 160,920

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Solution

The fourth proportional to 288,267.84, 397,783.44 and 160,920 is: 222,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,267.84 : 397,783.44 = 160,920 : x
  2. Step 2: Convert to fraction form
    288,267.84/397,783.44 = 160,920/x
  3. Step 3: Cross multiply
    288,267.84x = 397,783.44 × 160,920
  4. Step 4: Simplify right side
    288,267.84x = 64,011,311,164.80
  5. Step 5: Solve for x
    x = 64,011,311,164.80/288,267.84
  6. Step 6: Final answer
    x = 222,054.99

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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.