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Finding the Fourth Proportional to 298,957.76, 412,542.96 and 171,543.68

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Solution

The fourth proportional to 298,957.76, 412,542.96 and 171,543.68 is: 236,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,957.76 : 412,542.96 = 171,543.68 : x
  2. Step 2: Convert to fraction form
    298,957.76/412,542.96 = 171,543.68/x
  3. Step 3: Cross multiply
    298,957.76x = 412,542.96 × 171,543.68
  4. Step 4: Simplify right side
    298,957.76x = 70,769,137,516.49
  5. Step 5: Solve for x
    x = 70,769,137,516.49/298,957.76
  6. Step 6: Final answer
    x = 236,719.52

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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.