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Finding the Fourth Proportional to 249,634, 374,451 and 83,422

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Solution

The fourth proportional to 249,634, 374,451 and 83,422 is: 125,133

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,634 : 374,451 = 83,422 : x
  2. Step 2: Convert to fraction form
    249,634/374,451 = 83,422/x
  3. Step 3: Cross multiply
    249,634x = 374,451 × 83,422
  4. Step 4: Simplify right side
    249,634x = 31,237,451,322
  5. Step 5: Solve for x
    x = 31,237,451,322/249,634
  6. Step 6: Final answer
    x = 125,133

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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.