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Finding the Fourth Proportional to 818,715, 1,228,116.24 and 257,793.24

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Solution

The fourth proportional to 818,715, 1,228,116.24 and 257,793.24 is: 386,703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,715 : 1,228,116.24 = 257,793.24 : x
  2. Step 2: Convert to fraction form
    818,715/1,228,116.24 = 257,793.24/x
  3. Step 3: Cross multiply
    818,715x = 1,228,116.24 × 257,793.24
  4. Step 4: Simplify right side
    818,715x = 316,600,064,606.22
  5. Step 5: Solve for x
    x = 316,600,064,606.22/818,715
  6. Step 6: Final answer
    x = 386,703.63

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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.