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Finding the Fourth Proportional to 647,294.76, 970,732.07 and 305,685.36

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Solution

The fourth proportional to 647,294.76, 970,732.07 and 305,685.36 is: 458,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,294.76 : 970,732.07 = 305,685.36 : x
  2. Step 2: Convert to fraction form
    647,294.76/970,732.07 = 305,685.36/x
  3. Step 3: Cross multiply
    647,294.76x = 970,732.07 × 305,685.36
  4. Step 4: Simplify right side
    647,294.76x = 296,738,584,806.78
  5. Step 5: Solve for x
    x = 296,738,584,806.78/647,294.76
  6. Step 6: Final answer
    x = 458,428.84

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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.