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Finding the Fourth Proportional to 263,783.60, 364,020.86 and 142,928.16

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Solution

The fourth proportional to 263,783.60, 364,020.86 and 142,928.16 is: 197,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,783.60 : 364,020.86 = 142,928.16 : x
  2. Step 2: Convert to fraction form
    263,783.60/364,020.86 = 142,928.16/x
  3. Step 3: Cross multiply
    263,783.60x = 364,020.86 × 142,928.16
  4. Step 4: Simplify right side
    263,783.60x = 52,028,832,761.28
  5. Step 5: Solve for x
    x = 52,028,832,761.28/263,783.60
  6. Step 6: Final answer
    x = 197,240.59

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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.