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Finding the Fourth Proportional to 647,825.72, 970,825.12 and 305,904.32

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Solution

The fourth proportional to 647,825.72, 970,825.12 and 305,904.32 is: 458,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,825.72 : 970,825.12 = 305,904.32 : x
  2. Step 2: Convert to fraction form
    647,825.72/970,825.12 = 305,904.32/x
  3. Step 3: Cross multiply
    647,825.72x = 970,825.12 × 305,904.32
  4. Step 4: Simplify right side
    647,825.72x = 296,979,598,172.52
  5. Step 5: Solve for x
    x = 296,979,598,172.52/647,825.72
  6. Step 6: Final answer
    x = 458,425.14

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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.