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Finding the Fourth Proportional to 213,310, 294,367.80 and 128,430.64

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Solution

The fourth proportional to 213,310, 294,367.80 and 128,430.64 is: 177,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,310 : 294,367.80 = 128,430.64 : x
  2. Step 2: Convert to fraction form
    213,310/294,367.80 = 128,430.64/x
  3. Step 3: Cross multiply
    213,310x = 294,367.80 × 128,430.64
  4. Step 4: Simplify right side
    213,310x = 37,805,844,949.39
  5. Step 5: Solve for x
    x = 37,805,844,949.39/213,310
  6. Step 6: Final answer
    x = 177,234.28

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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.