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Finding the Fourth Proportional to 492,984.97, 680,339.87 and 311,631.64

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Solution

The fourth proportional to 492,984.97, 680,339.87 and 311,631.64 is: 430,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,984.97 : 680,339.87 = 311,631.64 : x
  2. Step 2: Convert to fraction form
    492,984.97/680,339.87 = 311,631.64/x
  3. Step 3: Cross multiply
    492,984.97x = 680,339.87 × 311,631.64
  4. Step 4: Simplify right side
    492,984.97x = 212,015,429,445.49
  5. Step 5: Solve for x
    x = 212,015,429,445.49/492,984.97
  6. Step 6: Final answer
    x = 430,064.69

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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.