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Finding the Fourth Proportional to 412,728.90, 619,148.43 and 163,352.58

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Solution

The fourth proportional to 412,728.90, 619,148.43 and 163,352.58 is: 245,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,728.90 : 619,148.43 = 163,352.58 : x
  2. Step 2: Convert to fraction form
    412,728.90/619,148.43 = 163,352.58/x
  3. Step 3: Cross multiply
    412,728.90x = 619,148.43 × 163,352.58
  4. Step 4: Simplify right side
    412,728.90x = 101,139,493,443.45
  5. Step 5: Solve for x
    x = 101,139,493,443.45/412,728.90
  6. Step 6: Final answer
    x = 245,050.67

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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.