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Finding the Fourth Proportional to 393,709.20, 543,312.54 and 221,626.74

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Solution

The fourth proportional to 393,709.20, 543,312.54 and 221,626.74 is: 305,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,709.20 : 543,312.54 = 221,626.74 : x
  2. Step 2: Convert to fraction form
    393,709.20/543,312.54 = 221,626.74/x
  3. Step 3: Cross multiply
    393,709.20x = 543,312.54 × 221,626.74
  4. Step 4: Simplify right side
    393,709.20x = 120,412,587,041.32
  5. Step 5: Solve for x
    x = 120,412,587,041.32/393,709.20
  6. Step 6: Final answer
    x = 305,841.44

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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.