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Finding the Fourth Proportional to 402,408.45, 603,706.02 and 118,087.50

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Solution

The fourth proportional to 402,408.45, 603,706.02 and 118,087.50 is: 177,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408.45 : 603,706.02 = 118,087.50 : x
  2. Step 2: Convert to fraction form
    402,408.45/603,706.02 = 118,087.50/x
  3. Step 3: Cross multiply
    402,408.45x = 603,706.02 × 118,087.50
  4. Step 4: Simplify right side
    402,408.45x = 71,290,134,636.75
  5. Step 5: Solve for x
    x = 71,290,134,636.75/402,408.45
  6. Step 6: Final answer
    x = 177,158.64

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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.