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Finding the Fourth Proportional to 227,866.50, 314,482.50 and 137,268.21

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Solution

The fourth proportional to 227,866.50, 314,482.50 and 137,268.21 is: 189,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,866.50 : 314,482.50 = 137,268.21 : x
  2. Step 2: Convert to fraction form
    227,866.50/314,482.50 = 137,268.21/x
  3. Step 3: Cross multiply
    227,866.50x = 314,482.50 × 137,268.21
  4. Step 4: Simplify right side
    227,866.50x = 43,168,449,851.33
  5. Step 5: Solve for x
    x = 43,168,449,851.33/227,866.50
  6. Step 6: Final answer
    x = 189,446.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.