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Finding the Fourth Proportional to 220,942.62, 304,803.81 and 149,296.50

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Solution

The fourth proportional to 220,942.62, 304,803.81 and 149,296.50 is: 205,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,942.62 : 304,803.81 = 149,296.50 : x
  2. Step 2: Convert to fraction form
    220,942.62/304,803.81 = 149,296.50/x
  3. Step 3: Cross multiply
    220,942.62x = 304,803.81 × 149,296.50
  4. Step 4: Simplify right side
    220,942.62x = 45,506,142,019.67
  5. Step 5: Solve for x
    x = 45,506,142,019.67/220,942.62
  6. Step 6: Final answer
    x = 205,963.62

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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.