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Finding the Fourth Proportional to 494,097.80, 741,492.30 and 317,035.40

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Solution

The fourth proportional to 494,097.80, 741,492.30 and 317,035.40 is: 475,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,097.80 : 741,492.30 = 317,035.40 : x
  2. Step 2: Convert to fraction form
    494,097.80/741,492.30 = 317,035.40/x
  3. Step 3: Cross multiply
    494,097.80x = 741,492.30 × 317,035.40
  4. Step 4: Simplify right side
    494,097.80x = 235,079,307,927.42
  5. Step 5: Solve for x
    x = 235,079,307,927.42/494,097.80
  6. Step 6: Final answer
    x = 475,774.85

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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.