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Finding the Fourth Proportional to 300,564.90, 450,774.18 and 100,833.48

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Solution

The fourth proportional to 300,564.90, 450,774.18 and 100,833.48 is: 151,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,564.90 : 450,774.18 = 100,833.48 : x
  2. Step 2: Convert to fraction form
    300,564.90/450,774.18 = 100,833.48/x
  3. Step 3: Cross multiply
    300,564.90x = 450,774.18 × 100,833.48
  4. Step 4: Simplify right side
    300,564.90x = 45,453,129,263.55
  5. Step 5: Solve for x
    x = 45,453,129,263.55/300,564.90
  6. Step 6: Final answer
    x = 151,225.67

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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.