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Finding the Fourth Proportional to 647,608.90, 970,246.95 and 397,999.30

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Solution

The fourth proportional to 647,608.90, 970,246.95 and 397,999.30 is: 596,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,608.90 : 970,246.95 = 397,999.30 : x
  2. Step 2: Convert to fraction form
    647,608.90/970,246.95 = 397,999.30/x
  3. Step 3: Cross multiply
    647,608.90x = 970,246.95 × 397,999.30
  4. Step 4: Simplify right side
    647,608.90x = 386,157,606,927.14
  5. Step 5: Solve for x
    x = 386,157,606,927.14/647,608.90
  6. Step 6: Final answer
    x = 596,282.12

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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.