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Finding the Fourth Proportional to 298,591.95, 447,444.89 and 219,318.67

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Solution

The fourth proportional to 298,591.95, 447,444.89 and 219,318.67 is: 328,652.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,591.95 : 447,444.89 = 219,318.67 : x
  2. Step 2: Convert to fraction form
    298,591.95/447,444.89 = 219,318.67/x
  3. Step 3: Cross multiply
    298,591.95x = 447,444.89 × 219,318.67
  4. Step 4: Simplify right side
    298,591.95x = 98,133,015,957.89
  5. Step 5: Solve for x
    x = 98,133,015,957.89/298,591.95
  6. Step 6: Final answer
    x = 328,652.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.