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Finding the Fourth Proportional to 326,114.10, 489,171.15 and 166,681.80

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Solution

The fourth proportional to 326,114.10, 489,171.15 and 166,681.80 is: 250,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,114.10 : 489,171.15 = 166,681.80 : x
  2. Step 2: Convert to fraction form
    326,114.10/489,171.15 = 166,681.80/x
  3. Step 3: Cross multiply
    326,114.10x = 489,171.15 × 166,681.80
  4. Step 4: Simplify right side
    326,114.10x = 81,535,927,790.07
  5. Step 5: Solve for x
    x = 81,535,927,790.07/326,114.10
  6. Step 6: Final answer
    x = 250,022.70

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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.