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Finding the Fourth Proportional to 314,696.99, 434,442.67 and 213,258.39

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Solution

The fourth proportional to 314,696.99, 434,442.67 and 213,258.39 is: 294,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,696.99 : 434,442.67 = 213,258.39 : x
  2. Step 2: Convert to fraction form
    314,696.99/434,442.67 = 213,258.39/x
  3. Step 3: Cross multiply
    314,696.99x = 434,442.67 × 213,258.39
  4. Step 4: Simplify right side
    314,696.99x = 92,648,543,818.36
  5. Step 5: Solve for x
    x = 92,648,543,818.36/314,696.99
  6. Step 6: Final answer
    x = 294,405.57

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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.