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Finding the Fourth Proportional to 312,142.86, 468,235.42 and 109,714.34

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Solution

The fourth proportional to 312,142.86, 468,235.42 and 109,714.34 is: 164,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,142.86 : 468,235.42 = 109,714.34 : x
  2. Step 2: Convert to fraction form
    312,142.86/468,235.42 = 109,714.34/x
  3. Step 3: Cross multiply
    312,142.86x = 468,235.42 × 109,714.34
  4. Step 4: Simplify right side
    312,142.86x = 51,372,140,966.23
  5. Step 5: Solve for x
    x = 51,372,140,966.23/312,142.86
  6. Step 6: Final answer
    x = 164,578.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.