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Finding the Fourth Proportional to 300,745.70, 415,024.53 and 164,779.10

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Solution

The fourth proportional to 300,745.70, 415,024.53 and 164,779.10 is: 227,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,745.70 : 415,024.53 = 164,779.10 : x
  2. Step 2: Convert to fraction form
    300,745.70/415,024.53 = 164,779.10/x
  3. Step 3: Cross multiply
    300,745.70x = 415,024.53 × 164,779.10
  4. Step 4: Simplify right side
    300,745.70x = 68,387,368,531.32
  5. Step 5: Solve for x
    x = 68,387,368,531.32/300,745.70
  6. Step 6: Final answer
    x = 227,392.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.