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Finding the Fourth Proportional to 658,774, 909,108.12 and 356,968

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Solution

The fourth proportional to 658,774, 909,108.12 and 356,968 is: 492,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,774 : 909,108.12 = 356,968 : x
  2. Step 2: Convert to fraction form
    658,774/909,108.12 = 356,968/x
  3. Step 3: Cross multiply
    658,774x = 909,108.12 × 356,968
  4. Step 4: Simplify right side
    658,774x = 324,522,507,380.16
  5. Step 5: Solve for x
    x = 324,522,507,380.16/658,774
  6. Step 6: Final answer
    x = 492,615.84

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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.