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Finding the Fourth Proportional to 378,345.36, 521,821.24 and 242,391.89

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Solution

The fourth proportional to 378,345.36, 521,821.24 and 242,391.89 is: 334,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,345.36 : 521,821.24 = 242,391.89 : x
  2. Step 2: Convert to fraction form
    378,345.36/521,821.24 = 242,391.89/x
  3. Step 3: Cross multiply
    378,345.36x = 521,821.24 × 242,391.89
  4. Step 4: Simplify right side
    378,345.36x = 126,485,237,304.32
  5. Step 5: Solve for x
    x = 126,485,237,304.32/378,345.36
  6. Step 6: Final answer
    x = 334,311.58

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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.