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Finding the Fourth Proportional to 326,144.56, 489,210.36 and 185,602

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Solution

The fourth proportional to 326,144.56, 489,210.36 and 185,602 is: 278,399.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,144.56 : 489,210.36 = 185,602 : x
  2. Step 2: Convert to fraction form
    326,144.56/489,210.36 = 185,602/x
  3. Step 3: Cross multiply
    326,144.56x = 489,210.36 × 185,602
  4. Step 4: Simplify right side
    326,144.56x = 90,798,421,236.72
  5. Step 5: Solve for x
    x = 90,798,421,236.72/326,144.56
  6. Step 6: Final answer
    x = 278,399.31

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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.