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Finding the Fourth Proportional to 586,650, 809,577.12 and 318,378

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Solution

The fourth proportional to 586,650, 809,577.12 and 318,378 is: 439,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,650 : 809,577.12 = 318,378 : x
  2. Step 2: Convert to fraction form
    586,650/809,577.12 = 318,378/x
  3. Step 3: Cross multiply
    586,650x = 809,577.12 × 318,378
  4. Step 4: Simplify right side
    586,650x = 257,751,544,311.36
  5. Step 5: Solve for x
    x = 257,751,544,311.36/586,650
  6. Step 6: Final answer
    x = 439,361.71

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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.