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Finding the Fourth Proportional to 203,590.31, 305,385.47 and 110,278.31

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Solution

The fourth proportional to 203,590.31, 305,385.47 and 110,278.31 is: 165,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,590.31 : 305,385.47 = 110,278.31 : x
  2. Step 2: Convert to fraction form
    203,590.31/305,385.47 = 110,278.31/x
  3. Step 3: Cross multiply
    203,590.31x = 305,385.47 × 110,278.31
  4. Step 4: Simplify right side
    203,590.31x = 33,677,393,530.16
  5. Step 5: Solve for x
    x = 33,677,393,530.16/203,590.31
  6. Step 6: Final answer
    x = 165,417.47

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1.5x scale

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.