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Finding the Fourth Proportional to 378,643, 522,537.16 and 206,563.76

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Solution

The fourth proportional to 378,643, 522,537.16 and 206,563.76 is: 285,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,643 : 522,537.16 = 206,563.76 : x
  2. Step 2: Convert to fraction form
    378,643/522,537.16 = 206,563.76/x
  3. Step 3: Cross multiply
    378,643x = 522,537.16 × 206,563.76
  4. Step 4: Simplify right side
    378,643x = 107,937,240,509.32
  5. Step 5: Solve for x
    x = 107,937,240,509.32/378,643
  6. Step 6: Final answer
    x = 285,063.35

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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.