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Finding the Fourth Proportional to 298,624.40, 447,784.28 and 98,872.70

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Solution

The fourth proportional to 298,624.40, 447,784.28 and 98,872.70 is: 148,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,624.40 : 447,784.28 = 98,872.70 : x
  2. Step 2: Convert to fraction form
    298,624.40/447,784.28 = 98,872.70/x
  3. Step 3: Cross multiply
    298,624.40x = 447,784.28 × 98,872.70
  4. Step 4: Simplify right side
    298,624.40x = 44,273,640,781.16
  5. Step 5: Solve for x
    x = 44,273,640,781.16/298,624.40
  6. Step 6: Final answer
    x = 148,258.62

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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.