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Finding the Fourth Proportional to 220,820.41, 304,732.16 and 120,218.41

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Solution

The fourth proportional to 220,820.41, 304,732.16 and 120,218.41 is: 165,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,820.41 : 304,732.16 = 120,218.41 : x
  2. Step 2: Convert to fraction form
    220,820.41/304,732.16 = 120,218.41/x
  3. Step 3: Cross multiply
    220,820.41x = 304,732.16 × 120,218.41
  4. Step 4: Simplify right side
    220,820.41x = 36,634,415,751.07
  5. Step 5: Solve for x
    x = 36,634,415,751.07/220,820.41
  6. Step 6: Final answer
    x = 165,901.40

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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.