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Finding the Fourth Proportional to 586,538, 809,422.44 and 318,266

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Solution

The fourth proportional to 586,538, 809,422.44 and 318,266 is: 439,207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,538 : 809,422.44 = 318,266 : x
  2. Step 2: Convert to fraction form
    586,538/809,422.44 = 318,266/x
  3. Step 3: Cross multiply
    586,538x = 809,422.44 × 318,266
  4. Step 4: Simplify right side
    586,538x = 257,611,642,289.04
  5. Step 5: Solve for x
    x = 257,611,642,289.04/586,538
  6. Step 6: Final answer
    x = 439,207.08

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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.