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Finding the Fourth Proportional to 312,851.63, 469,322.09 and 96,728.96

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Solution

The fourth proportional to 312,851.63, 469,322.09 and 96,728.96 is: 145,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,851.63 : 469,322.09 = 96,728.96 : x
  2. Step 2: Convert to fraction form
    312,851.63/469,322.09 = 96,728.96/x
  3. Step 3: Cross multiply
    312,851.63x = 469,322.09 × 96,728.96
  4. Step 4: Simplify right side
    312,851.63x = 45,397,038,360.39
  5. Step 5: Solve for x
    x = 45,397,038,360.39/312,851.63
  6. Step 6: Final answer
    x = 145,107.24

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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.