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Finding the Fourth Proportional to 419,714.80, 579,189.50 and 228,724.08

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Solution

The fourth proportional to 419,714.80, 579,189.50 and 228,724.08 is: 315,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,714.80 : 579,189.50 = 228,724.08 : x
  2. Step 2: Convert to fraction form
    419,714.80/579,189.50 = 228,724.08/x
  3. Step 3: Cross multiply
    419,714.80x = 579,189.50 × 228,724.08
  4. Step 4: Simplify right side
    419,714.80x = 132,474,585,533.16
  5. Step 5: Solve for x
    x = 132,474,585,533.16/419,714.80
  6. Step 6: Final answer
    x = 315,630.01

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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.