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Finding the Fourth Proportional to 302,820.75, 454,231.17 and 81,204.75

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Solution

The fourth proportional to 302,820.75, 454,231.17 and 81,204.75 is: 121,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,820.75 : 454,231.17 = 81,204.75 : x
  2. Step 2: Convert to fraction form
    302,820.75/454,231.17 = 81,204.75/x
  3. Step 3: Cross multiply
    302,820.75x = 454,231.17 × 81,204.75
  4. Step 4: Simplify right side
    302,820.75x = 36,885,728,602.06
  5. Step 5: Solve for x
    x = 36,885,728,602.06/302,820.75
  6. Step 6: Final answer
    x = 121,807.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.