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Finding the Fourth Proportional to 356,015.62, 491,314.05 and 194,870.80

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Solution

The fourth proportional to 356,015.62, 491,314.05 and 194,870.80 is: 268,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,015.62 : 491,314.05 = 194,870.80 : x
  2. Step 2: Convert to fraction form
    356,015.62/491,314.05 = 194,870.80/x
  3. Step 3: Cross multiply
    356,015.62x = 491,314.05 × 194,870.80
  4. Step 4: Simplify right side
    356,015.62x = 95,742,760,746.45
  5. Step 5: Solve for x
    x = 95,742,760,746.45/356,015.62
  6. Step 6: Final answer
    x = 268,928.54

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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.