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Finding the Fourth Proportional to 298,957.71, 412,328.36 and 191,537.81

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Solution

The fourth proportional to 298,957.71, 412,328.36 and 191,537.81 is: 264,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,957.71 : 412,328.36 = 191,537.81 : x
  2. Step 2: Convert to fraction form
    298,957.71/412,328.36 = 191,537.81/x
  3. Step 3: Cross multiply
    298,957.71x = 412,328.36 × 191,537.81
  4. Step 4: Simplify right side
    298,957.71x = 78,976,468,055.96
  5. Step 5: Solve for x
    x = 78,976,468,055.96/298,957.71
  6. Step 6: Final answer
    x = 264,172.71

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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.