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Finding the Fourth Proportional to 390,343.88, 585,064.02 and 179,539.40

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Solution

The fourth proportional to 390,343.88, 585,064.02 and 179,539.40 is: 269,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,343.88 : 585,064.02 = 179,539.40 : x
  2. Step 2: Convert to fraction form
    390,343.88/585,064.02 = 179,539.40/x
  3. Step 3: Cross multiply
    390,343.88x = 585,064.02 × 179,539.40
  4. Step 4: Simplify right side
    390,343.88x = 105,042,043,112.39
  5. Step 5: Solve for x
    x = 105,042,043,112.39/390,343.88
  6. Step 6: Final answer
    x = 269,101.29

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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.