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Finding the Fourth Proportional to 288,265.84, 397,780.68 and 160,918

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Solution

The fourth proportional to 288,265.84, 397,780.68 and 160,918 is: 222,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,265.84 : 397,780.68 = 160,918 : x
  2. Step 2: Convert to fraction form
    288,265.84/397,780.68 = 160,918/x
  3. Step 3: Cross multiply
    288,265.84x = 397,780.68 × 160,918
  4. Step 4: Simplify right side
    288,265.84x = 64,010,071,464.24
  5. Step 5: Solve for x
    x = 64,010,071,464.24/288,265.84
  6. Step 6: Final answer
    x = 222,052.23

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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.