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Finding the Fourth Proportional to 556,611.96, 768,196.94 and 311,689.98

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Solution

The fourth proportional to 556,611.96, 768,196.94 and 311,689.98 is: 430,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,611.96 : 768,196.94 = 311,689.98 : x
  2. Step 2: Convert to fraction form
    556,611.96/768,196.94 = 311,689.98/x
  3. Step 3: Cross multiply
    556,611.96x = 768,196.94 × 311,689.98
  4. Step 4: Simplify right side
    556,611.96x = 239,439,288,864.66
  5. Step 5: Solve for x
    x = 239,439,288,864.66/556,611.96
  6. Step 6: Final answer
    x = 430,172.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.