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Finding the Fourth Proportional to 578,378.94, 798,162.66 and 323,730.06

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Solution

The fourth proportional to 578,378.94, 798,162.66 and 323,730.06 is: 446,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,378.94 : 798,162.66 = 323,730.06 : x
  2. Step 2: Convert to fraction form
    578,378.94/798,162.66 = 323,730.06/x
  3. Step 3: Cross multiply
    578,378.94x = 798,162.66 × 323,730.06
  4. Step 4: Simplify right side
    578,378.94x = 258,389,245,811.56
  5. Step 5: Solve for x
    x = 258,389,245,811.56/578,378.94
  6. Step 6: Final answer
    x = 446,747.33

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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.