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Finding the Fourth Proportional to 289,419.58, 399,271.80 and 174,634.20

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Solution

The fourth proportional to 289,419.58, 399,271.80 and 174,634.20 is: 240,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,419.58 : 399,271.80 = 174,634.20 : x
  2. Step 2: Convert to fraction form
    289,419.58/399,271.80 = 174,634.20/x
  3. Step 3: Cross multiply
    289,419.58x = 399,271.80 × 174,634.20
  4. Step 4: Simplify right side
    289,419.58x = 69,726,512,171.07
  5. Step 5: Solve for x
    x = 69,726,512,171.07/289,419.58
  6. Step 6: Final answer
    x = 240,918.43

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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.