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Finding the Fourth Proportional to 299,917.08, 449,875.80 and 78,301.08

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Solution

The fourth proportional to 299,917.08, 449,875.80 and 78,301.08 is: 117,451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,917.08 : 449,875.80 = 78,301.08 : x
  2. Step 2: Convert to fraction form
    299,917.08/449,875.80 = 78,301.08/x
  3. Step 3: Cross multiply
    299,917.08x = 449,875.80 × 78,301.08
  4. Step 4: Simplify right side
    299,917.08x = 35,225,761,005.86
  5. Step 5: Solve for x
    x = 35,225,761,005.86/299,917.08
  6. Step 6: Final answer
    x = 117,451.67

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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.