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Finding the Fourth Proportional to 290,545.63, 400,950.14 and 161,484.39

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Solution

The fourth proportional to 290,545.63, 400,950.14 and 161,484.39 is: 222,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,545.63 : 400,950.14 = 161,484.39 : x
  2. Step 2: Convert to fraction form
    290,545.63/400,950.14 = 161,484.39/x
  3. Step 3: Cross multiply
    290,545.63x = 400,950.14 × 161,484.39
  4. Step 4: Simplify right side
    290,545.63x = 64,747,187,970.89
  5. Step 5: Solve for x
    x = 64,747,187,970.89/290,545.63
  6. Step 6: Final answer
    x = 222,846.88

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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.