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Finding the Fourth Proportional to 419,697.34, 579,181.42 and 228,710.28

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Solution

The fourth proportional to 419,697.34, 579,181.42 and 228,710.28 is: 315,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,697.34 : 579,181.42 = 228,710.28 : x
  2. Step 2: Convert to fraction form
    419,697.34/579,181.42 = 228,710.28/x
  3. Step 3: Cross multiply
    419,697.34x = 579,181.42 × 228,710.28
  4. Step 4: Simplify right side
    419,697.34x = 132,464,744,739.00
  5. Step 5: Solve for x
    x = 132,464,744,739.00/419,697.34
  6. Step 6: Final answer
    x = 315,619.69

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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.