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Finding the Fourth Proportional to 475,879.40, 713,884.74 and 276,293.78

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Solution

The fourth proportional to 475,879.40, 713,884.74 and 276,293.78 is: 414,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,879.40 : 713,884.74 = 276,293.78 : x
  2. Step 2: Convert to fraction form
    475,879.40/713,884.74 = 276,293.78/x
  3. Step 3: Cross multiply
    475,879.40x = 713,884.74 × 276,293.78
  4. Step 4: Simplify right side
    475,879.40x = 197,241,913,298.92
  5. Step 5: Solve for x
    x = 197,241,913,298.92/475,879.40
  6. Step 6: Final answer
    x = 414,478.78

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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.