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Finding the Fourth Proportional to 356,770.24, 492,348.48 and 195,640

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Solution

The fourth proportional to 356,770.24, 492,348.48 and 195,640 is: 269,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,770.24 : 492,348.48 = 195,640 : x
  2. Step 2: Convert to fraction form
    356,770.24/492,348.48 = 195,640/x
  3. Step 3: Cross multiply
    356,770.24x = 492,348.48 × 195,640
  4. Step 4: Simplify right side
    356,770.24x = 96,323,056,627.20
  5. Step 5: Solve for x
    x = 96,323,056,627.20/356,770.24
  6. Step 6: Final answer
    x = 269,986.24

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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.