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Finding the Fourth Proportional to 305,907.16, 422,505.12 and 203,764.36

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Solution

The fourth proportional to 305,907.16, 422,505.12 and 203,764.36 is: 281,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.16 : 422,505.12 = 203,764.36 : x
  2. Step 2: Convert to fraction form
    305,907.16/422,505.12 = 203,764.36/x
  3. Step 3: Cross multiply
    305,907.16x = 422,505.12 × 203,764.36
  4. Step 4: Simplify right side
    305,907.16x = 86,091,485,373.52
  5. Step 5: Solve for x
    x = 86,091,485,373.52/305,907.16
  6. Step 6: Final answer
    x = 281,430.11

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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.