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Finding the Fourth Proportional to 354,562.84, 489,380.70 and 203,747.32

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Solution

The fourth proportional to 354,562.84, 489,380.70 and 203,747.32 is: 281,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,562.84 : 489,380.70 = 203,747.32 : x
  2. Step 2: Convert to fraction form
    354,562.84/489,380.70 = 203,747.32/x
  3. Step 3: Cross multiply
    354,562.84x = 489,380.70 × 203,747.32
  4. Step 4: Simplify right side
    354,562.84x = 99,710,006,084.72
  5. Step 5: Solve for x
    x = 99,710,006,084.72/354,562.84
  6. Step 6: Final answer
    x = 281,219.56

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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.