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Finding the Fourth Proportional to 389,683, 537,762.90 and 219,913.48

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Solution

The fourth proportional to 389,683, 537,762.90 and 219,913.48 is: 303,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,683 : 537,762.90 = 219,913.48 : x
  2. Step 2: Convert to fraction form
    389,683/537,762.90 = 219,913.48/x
  3. Step 3: Cross multiply
    389,683x = 537,762.90 × 219,913.48
  4. Step 4: Simplify right side
    389,683x = 118,261,310,753.89
  5. Step 5: Solve for x
    x = 118,261,310,753.89/389,683
  6. Step 6: Final answer
    x = 303,480.81

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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.