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Finding the Fourth Proportional to 326,235.32, 489,106.77 and 213,943.81

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Solution

The fourth proportional to 326,235.32, 489,106.77 and 213,943.81 is: 320,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,235.32 : 489,106.77 = 213,943.81 : x
  2. Step 2: Convert to fraction form
    326,235.32/489,106.77 = 213,943.81/x
  3. Step 3: Cross multiply
    326,235.32x = 489,106.77 × 213,943.81
  4. Step 4: Simplify right side
    326,235.32x = 104,641,365,870.59
  5. Step 5: Solve for x
    x = 104,641,365,870.59/326,235.32
  6. Step 6: Final answer
    x = 320,754.25

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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.