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Finding the Fourth Proportional to 345,974.48, 477,443.40 and 186,998.48

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Solution

The fourth proportional to 345,974.48, 477,443.40 and 186,998.48 is: 258,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,974.48 : 477,443.40 = 186,998.48 : x
  2. Step 2: Convert to fraction form
    345,974.48/477,443.40 = 186,998.48/x
  3. Step 3: Cross multiply
    345,974.48x = 477,443.40 × 186,998.48
  4. Step 4: Simplify right side
    345,974.48x = 89,281,190,086.03
  5. Step 5: Solve for x
    x = 89,281,190,086.03/345,974.48
  6. Step 6: Final answer
    x = 258,057.16

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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.