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Finding the Fourth Proportional to 389,838.76, 537,973.38 and 228,662.92

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Solution

The fourth proportional to 389,838.76, 537,973.38 and 228,662.92 is: 315,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,838.76 : 537,973.38 = 228,662.92 : x
  2. Step 2: Convert to fraction form
    389,838.76/537,973.38 = 228,662.92/x
  3. Step 3: Cross multiply
    389,838.76x = 537,973.38 × 228,662.92
  4. Step 4: Simplify right side
    389,838.76x = 123,014,563,953.07
  5. Step 5: Solve for x
    x = 123,014,563,953.07/389,838.76
  6. Step 6: Final answer
    x = 315,552.42

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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.