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Finding the Fourth Proportional to 543,603.80, 815,086.56 and 164,410.40

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Solution

The fourth proportional to 543,603.80, 815,086.56 and 164,410.40 is: 246,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,603.80 : 815,086.56 = 164,410.40 : x
  2. Step 2: Convert to fraction form
    543,603.80/815,086.56 = 164,410.40/x
  3. Step 3: Cross multiply
    543,603.80x = 815,086.56 × 164,410.40
  4. Step 4: Simplify right side
    543,603.80x = 134,008,707,364.22
  5. Step 5: Solve for x
    x = 134,008,707,364.22/543,603.80
  6. Step 6: Final answer
    x = 246,519.08

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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.