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Finding the Fourth Proportional to 405,967.74, 608,550 and 192,360.42

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Solution

The fourth proportional to 405,967.74, 608,550 and 192,360.42 is: 288,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,967.74 : 608,550 = 192,360.42 : x
  2. Step 2: Convert to fraction form
    405,967.74/608,550 = 192,360.42/x
  3. Step 3: Cross multiply
    405,967.74x = 608,550 × 192,360.42
  4. Step 4: Simplify right side
    405,967.74x = 117,060,933,591.00
  5. Step 5: Solve for x
    x = 117,060,933,591.00/405,967.74
  6. Step 6: Final answer
    x = 288,350.33

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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.