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Finding the Fourth Proportional to 283,222.96, 390,801.94 and 162,342

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Solution

The fourth proportional to 283,222.96, 390,801.94 and 162,342 is: 224,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,222.96 : 390,801.94 = 162,342 : x
  2. Step 2: Convert to fraction form
    283,222.96/390,801.94 = 162,342/x
  3. Step 3: Cross multiply
    283,222.96x = 390,801.94 × 162,342
  4. Step 4: Simplify right side
    283,222.96x = 63,443,568,137.63
  5. Step 5: Solve for x
    x = 63,443,568,137.63/283,222.96
  6. Step 6: Final answer
    x = 224,005.74

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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.