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Finding the Fourth Proportional to 426,993, 589,250.34 and 257,262.36

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Solution

The fourth proportional to 426,993, 589,250.34 and 257,262.36 is: 355,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,993 : 589,250.34 = 257,262.36 : x
  2. Step 2: Convert to fraction form
    426,993/589,250.34 = 257,262.36/x
  3. Step 3: Cross multiply
    426,993x = 589,250.34 × 257,262.36
  4. Step 4: Simplify right side
    426,993x = 151,591,933,099.20
  5. Step 5: Solve for x
    x = 151,591,933,099.20/426,993
  6. Step 6: Final answer
    x = 355,022.06

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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.