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Finding the Fourth Proportional to 378,338.65, 521,811.92 and 242,385.14

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Solution

The fourth proportional to 378,338.65, 521,811.92 and 242,385.14 is: 334,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,338.65 : 521,811.92 = 242,385.14 : x
  2. Step 2: Convert to fraction form
    378,338.65/521,811.92 = 242,385.14/x
  3. Step 3: Cross multiply
    378,338.65x = 521,811.92 × 242,385.14
  4. Step 4: Simplify right side
    378,338.65x = 126,479,457,193.36
  5. Step 5: Solve for x
    x = 126,479,457,193.36/378,338.65
  6. Step 6: Final answer
    x = 334,302.24

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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.