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Finding the Fourth Proportional to 377,376.77, 520,783.32 and 205,298.49

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Solution

The fourth proportional to 377,376.77, 520,783.32 and 205,298.49 is: 283,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,376.77 : 520,783.32 = 205,298.49 : x
  2. Step 2: Convert to fraction form
    377,376.77/520,783.32 = 205,298.49/x
  3. Step 3: Cross multiply
    377,376.77x = 520,783.32 × 205,298.49
  4. Step 4: Simplify right side
    377,376.77x = 106,916,026,609.27
  5. Step 5: Solve for x
    x = 106,916,026,609.27/377,376.77
  6. Step 6: Final answer
    x = 283,313.75

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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.