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Finding the Fourth Proportional to 355,847.80, 534,074.10 and 145,636.60

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Solution

The fourth proportional to 355,847.80, 534,074.10 and 145,636.60 is: 218,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,847.80 : 534,074.10 = 145,636.60 : x
  2. Step 2: Convert to fraction form
    355,847.80/534,074.10 = 145,636.60/x
  3. Step 3: Cross multiply
    355,847.80x = 534,074.10 × 145,636.60
  4. Step 4: Simplify right side
    355,847.80x = 77,780,736,072.06
  5. Step 5: Solve for x
    x = 77,780,736,072.06/355,847.80
  6. Step 6: Final answer
    x = 218,578.66

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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.