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Finding the Fourth Proportional to 299,504.64, 449,255.68 and 77,888

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Solution

The fourth proportional to 299,504.64, 449,255.68 and 77,888 is: 116,831.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,504.64 : 449,255.68 = 77,888 : x
  2. Step 2: Convert to fraction form
    299,504.64/449,255.68 = 77,888/x
  3. Step 3: Cross multiply
    299,504.64x = 449,255.68 × 77,888
  4. Step 4: Simplify right side
    299,504.64x = 34,991,626,403.84
  5. Step 5: Solve for x
    x = 34,991,626,403.84/299,504.64
  6. Step 6: Final answer
    x = 116,831.67

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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.