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Finding the Fourth Proportional to 289,745.20, 434,617.80 and 100,205.20

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Solution

The fourth proportional to 289,745.20, 434,617.80 and 100,205.20 is: 150,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,745.20 : 434,617.80 = 100,205.20 : x
  2. Step 2: Convert to fraction form
    289,745.20/434,617.80 = 100,205.20/x
  3. Step 3: Cross multiply
    289,745.20x = 434,617.80 × 100,205.20
  4. Step 4: Simplify right side
    289,745.20x = 43,550,963,572.56
  5. Step 5: Solve for x
    x = 43,550,963,572.56/289,745.20
  6. Step 6: Final answer
    x = 150,307.80

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1.5x scale

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.