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Finding the Fourth Proportional to 326,683.90, 489,369.73 and 148,946.41

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Solution

The fourth proportional to 326,683.90, 489,369.73 and 148,946.41 is: 223,120.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,683.90 : 489,369.73 = 148,946.41 : x
  2. Step 2: Convert to fraction form
    326,683.90/489,369.73 = 148,946.41/x
  3. Step 3: Cross multiply
    326,683.90x = 489,369.73 × 148,946.41
  4. Step 4: Simplify right side
    326,683.90x = 72,889,864,446.17
  5. Step 5: Solve for x
    x = 72,889,864,446.17/326,683.90
  6. Step 6: Final answer
    x = 223,120.47

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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.