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Finding the Fourth Proportional to 655,314, 983,353.16 and 276,211.56

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Solution

The fourth proportional to 655,314, 983,353.16 and 276,211.56 is: 414,478.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,314 : 983,353.16 = 276,211.56 : x
  2. Step 2: Convert to fraction form
    655,314/983,353.16 = 276,211.56/x
  3. Step 3: Cross multiply
    655,314x = 983,353.16 × 276,211.56
  4. Step 4: Simplify right side
    655,314x = 271,613,510,354.53
  5. Step 5: Solve for x
    x = 271,613,510,354.53/655,314
  6. Step 6: Final answer
    x = 414,478.42

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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.