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Finding the Fourth Proportional to 553,810.32, 764,257.86 and 299,161.44

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Solution

The fourth proportional to 553,810.32, 764,257.86 and 299,161.44 is: 412,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,810.32 : 764,257.86 = 299,161.44 : x
  2. Step 2: Convert to fraction form
    553,810.32/764,257.86 = 299,161.44/x
  3. Step 3: Cross multiply
    553,810.32x = 764,257.86 × 299,161.44
  4. Step 4: Simplify right side
    553,810.32x = 228,636,481,928.92
  5. Step 5: Solve for x
    x = 228,636,481,928.92/553,810.32
  6. Step 6: Final answer
    x = 412,842.58

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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.