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Finding the Fourth Proportional to 315,888.42, 435,919.23 and 178,066.38

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Solution

The fourth proportional to 315,888.42, 435,919.23 and 178,066.38 is: 245,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,888.42 : 435,919.23 = 178,066.38 : x
  2. Step 2: Convert to fraction form
    315,888.42/435,919.23 = 178,066.38/x
  3. Step 3: Cross multiply
    315,888.42x = 435,919.23 × 178,066.38
  4. Step 4: Simplify right side
    315,888.42x = 77,622,559,258.49
  5. Step 5: Solve for x
    x = 77,622,559,258.49/315,888.42
  6. Step 6: Final answer
    x = 245,727.78

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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.