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Finding the Fourth Proportional to 427,303.58, 589,757.82 and 274,532.74

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Solution

The fourth proportional to 427,303.58, 589,757.82 and 274,532.74 is: 378,905.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,303.58 : 589,757.82 = 274,532.74 : x
  2. Step 2: Convert to fraction form
    427,303.58/589,757.82 = 274,532.74/x
  3. Step 3: Cross multiply
    427,303.58x = 589,757.82 × 274,532.74
  4. Step 4: Simplify right side
    427,303.58x = 161,907,832,618.77
  5. Step 5: Solve for x
    x = 161,907,832,618.77/427,303.58
  6. Step 6: Final answer
    x = 378,905.86

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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.