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Finding the Fourth Proportional to 295,681.50, 408,040.47 and 161,545.50

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Solution

The fourth proportional to 295,681.50, 408,040.47 and 161,545.50 is: 222,932.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,681.50 : 408,040.47 = 161,545.50 : x
  2. Step 2: Convert to fraction form
    295,681.50/408,040.47 = 161,545.50/x
  3. Step 3: Cross multiply
    295,681.50x = 408,040.47 × 161,545.50
  4. Step 4: Simplify right side
    295,681.50x = 65,917,101,746.39
  5. Step 5: Solve for x
    x = 65,917,101,746.39/295,681.50
  6. Step 6: Final answer
    x = 222,932.79

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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.