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Finding the Fourth Proportional to 427,223.88, 589,824.78 and 266,296.92

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Solution

The fourth proportional to 427,223.88, 589,824.78 and 266,296.92 is: 367,649.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,223.88 : 589,824.78 = 266,296.92 : x
  2. Step 2: Convert to fraction form
    427,223.88/589,824.78 = 266,296.92/x
  3. Step 3: Cross multiply
    427,223.88x = 589,824.78 × 266,296.92
  4. Step 4: Simplify right side
    427,223.88x = 157,068,522,253.68
  5. Step 5: Solve for x
    x = 157,068,522,253.68/427,223.88
  6. Step 6: Final answer
    x = 367,649.21

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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.