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Finding the Fourth Proportional to 201,314.40, 301,971.60 and 130,455.60

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Solution

The fourth proportional to 201,314.40, 301,971.60 and 130,455.60 is: 195,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.40 : 301,971.60 = 130,455.60 : x
  2. Step 2: Convert to fraction form
    201,314.40/301,971.60 = 130,455.60/x
  3. Step 3: Cross multiply
    201,314.40x = 301,971.60 × 130,455.60
  4. Step 4: Simplify right side
    201,314.40x = 39,393,886,260.96
  5. Step 5: Solve for x
    x = 39,393,886,260.96/201,314.40
  6. Step 6: Final answer
    x = 195,683.40

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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.