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Finding the Fourth Proportional to 377,400.09, 520,800.24 and 205,313.64

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Solution

The fourth proportional to 377,400.09, 520,800.24 and 205,313.64 is: 283,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,400.09 : 520,800.24 = 205,313.64 : x
  2. Step 2: Convert to fraction form
    377,400.09/520,800.24 = 205,313.64/x
  3. Step 3: Cross multiply
    377,400.09x = 520,800.24 × 205,313.64
  4. Step 4: Simplify right side
    377,400.09x = 106,927,392,987.27
  5. Step 5: Solve for x
    x = 106,927,392,987.27/377,400.09
  6. Step 6: Final answer
    x = 283,326.36

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1.5x scale

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.