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Finding the Fourth Proportional to 299,506.64, 449,258.68 and 77,890

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Solution

The fourth proportional to 299,506.64, 449,258.68 and 77,890 is: 116,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,506.64 : 449,258.68 = 77,890 : x
  2. Step 2: Convert to fraction form
    299,506.64/449,258.68 = 77,890/x
  3. Step 3: Cross multiply
    299,506.64x = 449,258.68 × 77,890
  4. Step 4: Simplify right side
    299,506.64x = 34,992,758,585.20
  5. Step 5: Solve for x
    x = 34,992,758,585.20/299,506.64
  6. Step 6: Final answer
    x = 116,834.67

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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.