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Finding the Fourth Proportional to 283,713.16, 390,993.78 and 211,966.60

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Solution

The fourth proportional to 283,713.16, 390,993.78 and 211,966.60 is: 292,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,713.16 : 390,993.78 = 211,966.60 : x
  2. Step 2: Convert to fraction form
    283,713.16/390,993.78 = 211,966.60/x
  3. Step 3: Cross multiply
    283,713.16x = 390,993.78 × 211,966.60
  4. Step 4: Simplify right side
    283,713.16x = 82,877,622,167.75
  5. Step 5: Solve for x
    x = 82,877,622,167.75/283,713.16
  6. Step 6: Final answer
    x = 292,117.65

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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.