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Finding the Fourth Proportional to 268,533.64, 402,800.32 and 127,865.80

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Solution

The fourth proportional to 268,533.64, 402,800.32 and 127,865.80 is: 191,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,533.64 : 402,800.32 = 127,865.80 : x
  2. Step 2: Convert to fraction form
    268,533.64/402,800.32 = 127,865.80/x
  3. Step 3: Cross multiply
    268,533.64x = 402,800.32 × 127,865.80
  4. Step 4: Simplify right side
    268,533.64x = 51,504,385,157.06
  5. Step 5: Solve for x
    x = 51,504,385,157.06/268,533.64
  6. Step 6: Final answer
    x = 191,798.63

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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.