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Finding the Fourth Proportional to 283,987.42, 426,046.74 and 84,303.38

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Solution

The fourth proportional to 283,987.42, 426,046.74 and 84,303.38 is: 126,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,987.42 : 426,046.74 = 84,303.38 : x
  2. Step 2: Convert to fraction form
    283,987.42/426,046.74 = 84,303.38/x
  3. Step 3: Cross multiply
    283,987.42x = 426,046.74 × 84,303.38
  4. Step 4: Simplify right side
    283,987.42x = 35,917,180,968.96
  5. Step 5: Solve for x
    x = 35,917,180,968.96/283,987.42
  6. Step 6: Final answer
    x = 126,474.55

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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.