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Finding the Fourth Proportional to 356,510.78, 491,985.22 and 195,366.18

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Solution

The fourth proportional to 356,510.78, 491,985.22 and 195,366.18 is: 269,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,510.78 : 491,985.22 = 195,366.18 : x
  2. Step 2: Convert to fraction form
    356,510.78/491,985.22 = 195,366.18/x
  3. Step 3: Cross multiply
    356,510.78x = 491,985.22 × 195,366.18
  4. Step 4: Simplify right side
    356,510.78x = 96,117,274,770.70
  5. Step 5: Solve for x
    x = 96,117,274,770.70/356,510.78
  6. Step 6: Final answer
    x = 269,605.52

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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.