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Finding the Fourth Proportional to 310,696.40, 428,533.80 and 203,093.84

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Solution

The fourth proportional to 310,696.40, 428,533.80 and 203,093.84 is: 280,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,696.40 : 428,533.80 = 203,093.84 : x
  2. Step 2: Convert to fraction form
    310,696.40/428,533.80 = 203,093.84/x
  3. Step 3: Cross multiply
    310,696.40x = 428,533.80 × 203,093.84
  4. Step 4: Simplify right side
    310,696.40x = 87,032,575,011.79
  5. Step 5: Solve for x
    x = 87,032,575,011.79/310,696.40
  6. Step 6: Final answer
    x = 280,120.96

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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.