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Finding the Fourth Proportional to 666,243.68, 997,764.15 and 381,069.98

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Solution

The fourth proportional to 666,243.68, 997,764.15 and 381,069.98 is: 570,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,243.68 : 997,764.15 = 381,069.98 : x
  2. Step 2: Convert to fraction form
    666,243.68/997,764.15 = 381,069.98/x
  3. Step 3: Cross multiply
    666,243.68x = 997,764.15 × 381,069.98
  4. Step 4: Simplify right side
    666,243.68x = 380,217,964,685.22
  5. Step 5: Solve for x
    x = 380,217,964,685.22/666,243.68
  6. Step 6: Final answer
    x = 570,689.04

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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.