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Finding the Fourth Proportional to 393,959.63, 590,853.04 and 113,415.95

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Solution

The fourth proportional to 393,959.63, 590,853.04 and 113,415.95 is: 170,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,959.63 : 590,853.04 = 113,415.95 : x
  2. Step 2: Convert to fraction form
    393,959.63/590,853.04 = 113,415.95/x
  3. Step 3: Cross multiply
    393,959.63x = 590,853.04 × 113,415.95
  4. Step 4: Simplify right side
    393,959.63x = 67,012,158,841.99
  5. Step 5: Solve for x
    x = 67,012,158,841.99/393,959.63
  6. Step 6: Final answer
    x = 170,099.05

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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.