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Finding the Fourth Proportional to 601,908.36, 830,628.23 and 329,971.31

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Solution

The fourth proportional to 601,908.36, 830,628.23 and 329,971.31 is: 455,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,908.36 : 830,628.23 = 329,971.31 : x
  2. Step 2: Convert to fraction form
    601,908.36/830,628.23 = 329,971.31/x
  3. Step 3: Cross multiply
    601,908.36x = 830,628.23 × 329,971.31
  4. Step 4: Simplify right side
    601,908.36x = 274,083,485,176.08
  5. Step 5: Solve for x
    x = 274,083,485,176.08/601,908.36
  6. Step 6: Final answer
    x = 455,357.50

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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.