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Finding the Fourth Proportional to 377,478.24, 520,904.24 and 205,396.88

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Solution

The fourth proportional to 377,478.24, 520,904.24 and 205,396.88 is: 283,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,478.24 : 520,904.24 = 205,396.88 : x
  2. Step 2: Convert to fraction form
    377,478.24/520,904.24 = 205,396.88/x
  3. Step 3: Cross multiply
    377,478.24x = 520,904.24 × 205,396.88
  4. Step 4: Simplify right side
    377,478.24x = 106,992,105,674.77
  5. Step 5: Solve for x
    x = 106,992,105,674.77/377,478.24
  6. Step 6: Final answer
    x = 283,439.13

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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.