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Finding the Fourth Proportional to 389,078.98, 536,970.33 and 228,069.34

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Solution

The fourth proportional to 389,078.98, 536,970.33 and 228,069.34 is: 314,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,078.98 : 536,970.33 = 228,069.34 : x
  2. Step 2: Convert to fraction form
    389,078.98/536,970.33 = 228,069.34/x
  3. Step 3: Cross multiply
    389,078.98x = 536,970.33 × 228,069.34
  4. Step 4: Simplify right side
    389,078.98x = 122,466,468,762.68
  5. Step 5: Solve for x
    x = 122,466,468,762.68/389,078.98
  6. Step 6: Final answer
    x = 314,759.92

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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.