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Finding the Fourth Proportional to 402,185.86, 603,280.62 and 135,947.80

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Solution

The fourth proportional to 402,185.86, 603,280.62 and 135,947.80 is: 203,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,185.86 : 603,280.62 = 135,947.80 : x
  2. Step 2: Convert to fraction form
    402,185.86/603,280.62 = 135,947.80/x
  3. Step 3: Cross multiply
    402,185.86x = 603,280.62 × 135,947.80
  4. Step 4: Simplify right side
    402,185.86x = 82,014,673,071.64
  5. Step 5: Solve for x
    x = 82,014,673,071.64/402,185.86
  6. Step 6: Final answer
    x = 203,922.32

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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.