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Finding the Fourth Proportional to 427,472.80, 589,806.48 and 276,388

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Solution

The fourth proportional to 427,472.80, 589,806.48 and 276,388 is: 381,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,472.80 : 589,806.48 = 276,388 : x
  2. Step 2: Convert to fraction form
    427,472.80/589,806.48 = 276,388/x
  3. Step 3: Cross multiply
    427,472.80x = 589,806.48 × 276,388
  4. Step 4: Simplify right side
    427,472.80x = 163,015,433,394.24
  5. Step 5: Solve for x
    x = 163,015,433,394.24/427,472.80
  6. Step 6: Final answer
    x = 381,346.91

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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.