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Finding the Fourth Proportional to 220,820.16, 304,731.81 and 120,218.16

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Solution

The fourth proportional to 220,820.16, 304,731.81 and 120,218.16 is: 165,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,820.16 : 304,731.81 = 120,218.16 : x
  2. Step 2: Convert to fraction form
    220,820.16/304,731.81 = 120,218.16/x
  3. Step 3: Cross multiply
    220,820.16x = 304,731.81 × 120,218.16
  4. Step 4: Simplify right side
    220,820.16x = 36,634,297,491.67
  5. Step 5: Solve for x
    x = 36,634,297,491.67/220,820.16
  6. Step 6: Final answer
    x = 165,901.05

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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.