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Finding the Fourth Proportional to 263,698.30, 363,904.09 and 142,840.58

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Solution

The fourth proportional to 263,698.30, 363,904.09 and 142,840.58 is: 197,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,698.30 : 363,904.09 = 142,840.58 : x
  2. Step 2: Convert to fraction form
    263,698.30/363,904.09 = 142,840.58/x
  3. Step 3: Cross multiply
    263,698.30x = 363,904.09 × 142,840.58
  4. Step 4: Simplify right side
    263,698.30x = 51,980,271,953.79
  5. Step 5: Solve for x
    x = 51,980,271,953.79/263,698.30
  6. Step 6: Final answer
    x = 197,120.24

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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.