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Finding the Fourth Proportional to 382,119.64, 527,320.38 and 220,970.20

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Solution

The fourth proportional to 382,119.64, 527,320.38 and 220,970.20 is: 304,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,119.64 : 527,320.38 = 220,970.20 : x
  2. Step 2: Convert to fraction form
    382,119.64/527,320.38 = 220,970.20/x
  3. Step 3: Cross multiply
    382,119.64x = 527,320.38 × 220,970.20
  4. Step 4: Simplify right side
    382,119.64x = 116,522,089,832.68
  5. Step 5: Solve for x
    x = 116,522,089,832.68/382,119.64
  6. Step 6: Final answer
    x = 304,936.14

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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.