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Finding the Fourth Proportional to 369,696.36, 510,311.76 and 218,793

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Solution

The fourth proportional to 369,696.36, 510,311.76 and 218,793 is: 302,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,696.36 : 510,311.76 = 218,793 : x
  2. Step 2: Convert to fraction form
    369,696.36/510,311.76 = 218,793/x
  3. Step 3: Cross multiply
    369,696.36x = 510,311.76 × 218,793
  4. Step 4: Simplify right side
    369,696.36x = 111,652,640,905.68
  5. Step 5: Solve for x
    x = 111,652,640,905.68/369,696.36
  6. Step 6: Final answer
    x = 302,011.74

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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.