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Finding the Fourth Proportional to 354,482.28, 489,232.56 and 225,432.94

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Solution

The fourth proportional to 354,482.28, 489,232.56 and 225,432.94 is: 311,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,482.28 : 489,232.56 = 225,432.94 : x
  2. Step 2: Convert to fraction form
    354,482.28/489,232.56 = 225,432.94/x
  3. Step 3: Cross multiply
    354,482.28x = 489,232.56 × 225,432.94
  4. Step 4: Simplify right side
    354,482.28x = 110,289,134,344.53
  5. Step 5: Solve for x
    x = 110,289,134,344.53/354,482.28
  6. Step 6: Final answer
    x = 311,127.36

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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.