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Finding the Fourth Proportional to 313,142.64, 469,739.24 and 88,504.84

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Solution

The fourth proportional to 313,142.64, 469,739.24 and 88,504.84 is: 132,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,142.64 : 469,739.24 = 88,504.84 : x
  2. Step 2: Convert to fraction form
    313,142.64/469,739.24 = 88,504.84/x
  3. Step 3: Cross multiply
    313,142.64x = 469,739.24 × 88,504.84
  4. Step 4: Simplify right side
    313,142.64x = 41,574,196,277.92
  5. Step 5: Solve for x
    x = 41,574,196,277.92/313,142.64
  6. Step 6: Final answer
    x = 132,764.40

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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.