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Finding the Fourth Proportional to 201,165.76, 301,316.68 and 189,388.76

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Solution

The fourth proportional to 201,165.76, 301,316.68 and 189,388.76 is: 283,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,165.76 : 301,316.68 = 189,388.76 : x
  2. Step 2: Convert to fraction form
    201,165.76/301,316.68 = 189,388.76/x
  3. Step 3: Cross multiply
    201,165.76x = 301,316.68 × 189,388.76
  4. Step 4: Simplify right side
    201,165.76x = 57,065,992,392.52
  5. Step 5: Solve for x
    x = 57,065,992,392.52/201,165.76
  6. Step 6: Final answer
    x = 283,676.47

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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.