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Finding the Fourth Proportional to 286,997.40, 430,262.82 and 100,140.12

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Solution

The fourth proportional to 286,997.40, 430,262.82 and 100,140.12 is: 150,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,997.40 : 430,262.82 = 100,140.12 : x
  2. Step 2: Convert to fraction form
    286,997.40/430,262.82 = 100,140.12/x
  3. Step 3: Cross multiply
    286,997.40x = 430,262.82 × 100,140.12
  4. Step 4: Simplify right side
    286,997.40x = 43,086,570,426.34
  5. Step 5: Solve for x
    x = 43,086,570,426.34/286,997.40
  6. Step 6: Final answer
    x = 150,128.78

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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.