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Finding the Fourth Proportional to 365,355.10, 547,972.89 and 128,642.14

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Solution

The fourth proportional to 365,355.10, 547,972.89 and 128,642.14 is: 192,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,355.10 : 547,972.89 = 128,642.14 : x
  2. Step 2: Convert to fraction form
    365,355.10/547,972.89 = 128,642.14/x
  3. Step 3: Cross multiply
    365,355.10x = 547,972.89 × 128,642.14
  4. Step 4: Simplify right side
    365,355.10x = 70,492,405,231.58
  5. Step 5: Solve for x
    x = 70,492,405,231.58/365,355.10
  6. Step 6: Final answer
    x = 192,942.17

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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.