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Finding the Fourth Proportional to 312,086.16, 431,119.80 and 248,342.40

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Solution

The fourth proportional to 312,086.16, 431,119.80 and 248,342.40 is: 343,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,086.16 : 431,119.80 = 248,342.40 : x
  2. Step 2: Convert to fraction form
    312,086.16/431,119.80 = 248,342.40/x
  3. Step 3: Cross multiply
    312,086.16x = 431,119.80 × 248,342.40
  4. Step 4: Simplify right side
    312,086.16x = 107,065,325,819.52
  5. Step 5: Solve for x
    x = 107,065,325,819.52/312,086.16
  6. Step 6: Final answer
    x = 343,063.36

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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.