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Finding the Fourth Proportional to 260,083.40, 389,541.90 and 213,427.40

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Solution

The fourth proportional to 260,083.40, 389,541.90 and 213,427.40 is: 319,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.40 : 389,541.90 = 213,427.40 : x
  2. Step 2: Convert to fraction form
    260,083.40/389,541.90 = 213,427.40/x
  3. Step 3: Cross multiply
    260,083.40x = 389,541.90 × 213,427.40
  4. Step 4: Simplify right side
    260,083.40x = 83,138,914,908.06
  5. Step 5: Solve for x
    x = 83,138,914,908.06/260,083.40
  6. Step 6: Final answer
    x = 319,662.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.