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Finding the Fourth Proportional to 312,066.36, 430,452.90 and 204,643.08

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Solution

The fourth proportional to 312,066.36, 430,452.90 and 204,643.08 is: 282,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,066.36 : 430,452.90 = 204,643.08 : x
  2. Step 2: Convert to fraction form
    312,066.36/430,452.90 = 204,643.08/x
  3. Step 3: Cross multiply
    312,066.36x = 430,452.90 × 204,643.08
  4. Step 4: Simplify right side
    312,066.36x = 88,089,207,250.93
  5. Step 5: Solve for x
    x = 88,089,207,250.93/312,066.36
  6. Step 6: Final answer
    x = 282,277.16

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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.