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Finding the Fourth Proportional to 419,275.44, 578,592.72 and 228,285.54

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Solution

The fourth proportional to 419,275.44, 578,592.72 and 228,285.54 is: 315,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,275.44 : 578,592.72 = 228,285.54 : x
  2. Step 2: Convert to fraction form
    419,275.44/578,592.72 = 228,285.54/x
  3. Step 3: Cross multiply
    419,275.44x = 578,592.72 × 228,285.54
  4. Step 4: Simplify right side
    419,275.44x = 132,084,351,525.27
  5. Step 5: Solve for x
    x = 132,084,351,525.27/419,275.44
  6. Step 6: Final answer
    x = 315,030.02

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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.