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Finding the Fourth Proportional to 601,628.22, 830,246.22 and 329,713.20

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Solution

The fourth proportional to 601,628.22, 830,246.22 and 329,713.20 is: 455,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,628.22 : 830,246.22 = 329,713.20 : x
  2. Step 2: Convert to fraction form
    601,628.22/830,246.22 = 329,713.20/x
  3. Step 3: Cross multiply
    601,628.22x = 830,246.22 × 329,713.20
  4. Step 4: Simplify right side
    601,628.22x = 273,743,137,984.10
  5. Step 5: Solve for x
    x = 273,743,137,984.10/601,628.22
  6. Step 6: Final answer
    x = 455,003.82

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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.