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Finding the Fourth Proportional to 305,051.94, 457,587.54 and 105,383.70

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Solution

The fourth proportional to 305,051.94, 457,587.54 and 105,383.70 is: 158,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,051.94 : 457,587.54 = 105,383.70 : x
  2. Step 2: Convert to fraction form
    305,051.94/457,587.54 = 105,383.70/x
  3. Step 3: Cross multiply
    305,051.94x = 457,587.54 × 105,383.70
  4. Step 4: Simplify right side
    305,051.94x = 48,222,268,039.10
  5. Step 5: Solve for x
    x = 48,222,268,039.10/305,051.94
  6. Step 6: Final answer
    x = 158,078.88

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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.