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Finding the Fourth Proportional to 228,678.84, 343,054.62 and 70,874.64

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Solution

The fourth proportional to 228,678.84, 343,054.62 and 70,874.64 is: 106,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,678.84 : 343,054.62 = 70,874.64 : x
  2. Step 2: Convert to fraction form
    228,678.84/343,054.62 = 70,874.64/x
  3. Step 3: Cross multiply
    228,678.84x = 343,054.62 × 70,874.64
  4. Step 4: Simplify right side
    228,678.84x = 24,313,872,692.84
  5. Step 5: Solve for x
    x = 24,313,872,692.84/228,678.84
  6. Step 6: Final answer
    x = 106,323.23

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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.