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Finding the Fourth Proportional to 283,889.53, 391,795.14 and 212,145.40

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Solution

The fourth proportional to 283,889.53, 391,795.14 and 212,145.40 is: 292,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,889.53 : 391,795.14 = 212,145.40 : x
  2. Step 2: Convert to fraction form
    283,889.53/391,795.14 = 212,145.40/x
  3. Step 3: Cross multiply
    283,889.53x = 391,795.14 × 212,145.40
  4. Step 4: Simplify right side
    283,889.53x = 83,117,536,693.36
  5. Step 5: Solve for x
    x = 83,117,536,693.36/283,889.53
  6. Step 6: Final answer
    x = 292,781.27

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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.