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Finding the Fourth Proportional to 203,384.40, 305,222.40 and 114,543.60

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Solution

The fourth proportional to 203,384.40, 305,222.40 and 114,543.60 is: 171,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,384.40 : 305,222.40 = 114,543.60 : x
  2. Step 2: Convert to fraction form
    203,384.40/305,222.40 = 114,543.60/x
  3. Step 3: Cross multiply
    203,384.40x = 305,222.40 × 114,543.60
  4. Step 4: Simplify right side
    203,384.40x = 34,961,272,496.64
  5. Step 5: Solve for x
    x = 34,961,272,496.64/203,384.40
  6. Step 6: Final answer
    x = 171,897.51

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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.