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Finding the Fourth Proportional to 389,880.32, 538,051.56 and 228,858.80

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Solution

The fourth proportional to 389,880.32, 538,051.56 and 228,858.80 is: 315,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880.32 : 538,051.56 = 228,858.80 : x
  2. Step 2: Convert to fraction form
    389,880.32/538,051.56 = 228,858.80/x
  3. Step 3: Cross multiply
    389,880.32x = 538,051.56 × 228,858.80
  4. Step 4: Simplify right side
    389,880.32x = 123,137,834,359.73
  5. Step 5: Solve for x
    x = 123,137,834,359.73/389,880.32
  6. Step 6: Final answer
    x = 315,834.96

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1.5x scale

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.