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Finding the Fourth Proportional to 230,814.06, 318,467.30 and 135,302.30

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Solution

The fourth proportional to 230,814.06, 318,467.30 and 135,302.30 is: 186,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,814.06 : 318,467.30 = 135,302.30 : x
  2. Step 2: Convert to fraction form
    230,814.06/318,467.30 = 135,302.30/x
  3. Step 3: Cross multiply
    230,814.06x = 318,467.30 × 135,302.30
  4. Step 4: Simplify right side
    230,814.06x = 43,089,358,164.79
  5. Step 5: Solve for x
    x = 43,089,358,164.79/230,814.06
  6. Step 6: Final answer
    x = 186,684.29

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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.