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Finding the Fourth Proportional to 397,486.80, 595,841.40 and 197,643.60

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Solution

The fourth proportional to 397,486.80, 595,841.40 and 197,643.60 is: 296,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,486.80 : 595,841.40 = 197,643.60 : x
  2. Step 2: Convert to fraction form
    397,486.80/595,841.40 = 197,643.60/x
  3. Step 3: Cross multiply
    397,486.80x = 595,841.40 × 197,643.60
  4. Step 4: Simplify right side
    397,486.80x = 117,764,239,325.04
  5. Step 5: Solve for x
    x = 117,764,239,325.04/397,486.80
  6. Step 6: Final answer
    x = 296,272.08

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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.