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Finding the Fourth Proportional to 345,856.50, 477,282.78 and 194,953.50

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Solution

The fourth proportional to 345,856.50, 477,282.78 and 194,953.50 is: 269,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,856.50 : 477,282.78 = 194,953.50 : x
  2. Step 2: Convert to fraction form
    345,856.50/477,282.78 = 194,953.50/x
  3. Step 3: Cross multiply
    345,856.50x = 477,282.78 × 194,953.50
  4. Step 4: Simplify right side
    345,856.50x = 93,047,948,450.73
  5. Step 5: Solve for x
    x = 93,047,948,450.73/345,856.50
  6. Step 6: Final answer
    x = 269,036.29

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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.