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Finding the Fourth Proportional to 356,545.88, 492,022.18 and 195,398

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Solution

The fourth proportional to 356,545.88, 492,022.18 and 195,398 is: 269,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,545.88 : 492,022.18 = 195,398 : x
  2. Step 2: Convert to fraction form
    356,545.88/492,022.18 = 195,398/x
  3. Step 3: Cross multiply
    356,545.88x = 492,022.18 × 195,398
  4. Step 4: Simplify right side
    356,545.88x = 96,140,149,927.64
  5. Step 5: Solve for x
    x = 96,140,149,927.64/356,545.88
  6. Step 6: Final answer
    x = 269,643.14

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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.