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Finding the Fourth Proportional to 343,515.20, 513,814.80 and 308,231.60

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Solution

The fourth proportional to 343,515.20, 513,814.80 and 308,231.60 is: 461,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,515.20 : 513,814.80 = 308,231.60 : x
  2. Step 2: Convert to fraction form
    343,515.20/513,814.80 = 308,231.60/x
  3. Step 3: Cross multiply
    343,515.20x = 513,814.80 × 308,231.60
  4. Step 4: Simplify right side
    343,515.20x = 158,373,957,907.68
  5. Step 5: Solve for x
    x = 158,373,957,907.68/343,515.20
  6. Step 6: Final answer
    x = 461,039.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.