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Finding the Fourth Proportional to 613,648.94, 920,466.10 and 158,237.78

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Solution

The fourth proportional to 613,648.94, 920,466.10 and 158,237.78 is: 237,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,648.94 : 920,466.10 = 158,237.78 : x
  2. Step 2: Convert to fraction form
    613,648.94/920,466.10 = 158,237.78/x
  3. Step 3: Cross multiply
    613,648.94x = 920,466.10 × 158,237.78
  4. Step 4: Simplify right side
    613,648.94x = 145,652,512,229.26
  5. Step 5: Solve for x
    x = 145,652,512,229.26/613,648.94
  6. Step 6: Final answer
    x = 237,354.79

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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.