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Finding the Fourth Proportional to 666,362.74, 997,942.46 and 381,188.74

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Solution

The fourth proportional to 666,362.74, 997,942.46 and 381,188.74 is: 570,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,362.74 : 997,942.46 = 381,188.74 : x
  2. Step 2: Convert to fraction form
    666,362.74/997,942.46 = 381,188.74/x
  3. Step 3: Cross multiply
    666,362.74x = 997,942.46 × 381,188.74
  4. Step 4: Simplify right side
    666,362.74x = 380,404,424,883.16
  5. Step 5: Solve for x
    x = 380,404,424,883.16/666,362.74
  6. Step 6: Final answer
    x = 570,866.89

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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.