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Finding the Fourth Proportional to 490,898.47, 677,443.92 and 276,036.64

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Solution

The fourth proportional to 490,898.47, 677,443.92 and 276,036.64 is: 380,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,898.47 : 677,443.92 = 276,036.64 : x
  2. Step 2: Convert to fraction form
    490,898.47/677,443.92 = 276,036.64/x
  3. Step 3: Cross multiply
    490,898.47x = 677,443.92 × 276,036.64
  4. Step 4: Simplify right side
    490,898.47x = 186,999,343,465.23
  5. Step 5: Solve for x
    x = 186,999,343,465.23/490,898.47
  6. Step 6: Final answer
    x = 380,932.83

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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.