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Finding the Fourth Proportional to 298,258, 447,248.80 and 111,219.28

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Solution

The fourth proportional to 298,258, 447,248.80 and 111,219.28 is: 166,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,258 : 447,248.80 = 111,219.28 : x
  2. Step 2: Convert to fraction form
    298,258/447,248.80 = 111,219.28/x
  3. Step 3: Cross multiply
    298,258x = 447,248.80 × 111,219.28
  4. Step 4: Simplify right side
    298,258x = 49,742,689,516.86
  5. Step 5: Solve for x
    x = 49,742,689,516.86/298,258
  6. Step 6: Final answer
    x = 166,777.39

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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.