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Finding the Fourth Proportional to 228,678.34, 343,053.87 and 70,874.14

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Solution

The fourth proportional to 228,678.34, 343,053.87 and 70,874.14 is: 106,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,678.34 : 343,053.87 = 70,874.14 : x
  2. Step 2: Convert to fraction form
    228,678.34/343,053.87 = 70,874.14/x
  3. Step 3: Cross multiply
    228,678.34x = 343,053.87 × 70,874.14
  4. Step 4: Simplify right side
    228,678.34x = 24,313,648,009.92
  5. Step 5: Solve for x
    x = 24,313,648,009.92/228,678.34
  6. Step 6: Final answer
    x = 106,322.48

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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.