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Finding the Fourth Proportional to 228,709.87, 343,048.32 and 70,934.22

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Solution

The fourth proportional to 228,709.87, 343,048.32 and 70,934.22 is: 106,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,709.87 : 343,048.32 = 70,934.22 : x
  2. Step 2: Convert to fraction form
    228,709.87/343,048.32 = 70,934.22/x
  3. Step 3: Cross multiply
    228,709.87x = 343,048.32 × 70,934.22
  4. Step 4: Simplify right side
    228,709.87x = 24,333,865,001.51
  5. Step 5: Solve for x
    x = 24,333,865,001.51/228,709.87
  6. Step 6: Final answer
    x = 106,396.22

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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.