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Finding the Fourth Proportional to 340,364.94, 510,777.09 and 256,187.31

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Solution

The fourth proportional to 340,364.94, 510,777.09 and 256,187.31 is: 384,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,364.94 : 510,777.09 = 256,187.31 : x
  2. Step 2: Convert to fraction form
    340,364.94/510,777.09 = 256,187.31/x
  3. Step 3: Cross multiply
    340,364.94x = 510,777.09 × 256,187.31
  4. Step 4: Simplify right side
    340,364.94x = 130,854,608,696.73
  5. Step 5: Solve for x
    x = 130,854,608,696.73/340,364.94
  6. Step 6: Final answer
    x = 384,453.84

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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.