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Finding the Fourth Proportional to 489,905.50, 734,858.80 and 194,417.50

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Solution

The fourth proportional to 489,905.50, 734,858.80 and 194,417.50 is: 291,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,905.50 : 734,858.80 = 194,417.50 : x
  2. Step 2: Convert to fraction form
    489,905.50/734,858.80 = 194,417.50/x
  3. Step 3: Cross multiply
    489,905.50x = 734,858.80 × 194,417.50
  4. Step 4: Simplify right side
    489,905.50x = 142,869,410,749
  5. Step 5: Solve for x
    x = 142,869,410,749/489,905.50
  6. Step 6: Final answer
    x = 291,626.47

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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.