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Finding the Fourth Proportional to 201,200.70, 301,801.05 and 198,090.30

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Solution

The fourth proportional to 201,200.70, 301,801.05 and 198,090.30 is: 297,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.70 : 301,801.05 = 198,090.30 : x
  2. Step 2: Convert to fraction form
    201,200.70/301,801.05 = 198,090.30/x
  3. Step 3: Cross multiply
    201,200.70x = 301,801.05 × 198,090.30
  4. Step 4: Simplify right side
    201,200.70x = 59,783,860,534.82
  5. Step 5: Solve for x
    x = 59,783,860,534.82/201,200.70
  6. Step 6: Final answer
    x = 297,135.45

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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.