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Finding the Fourth Proportional to 412,354.80, 618,445.80 and 202,143.60

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Solution

The fourth proportional to 412,354.80, 618,445.80 and 202,143.60 is: 303,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,354.80 : 618,445.80 = 202,143.60 : x
  2. Step 2: Convert to fraction form
    412,354.80/618,445.80 = 202,143.60/x
  3. Step 3: Cross multiply
    412,354.80x = 618,445.80 × 202,143.60
  4. Step 4: Simplify right side
    412,354.80x = 125,014,860,416.88
  5. Step 5: Solve for x
    x = 125,014,860,416.88/412,354.80
  6. Step 6: Final answer
    x = 303,173.05

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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.