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Finding the Fourth Proportional to 378,403.04, 522,199.72 and 208,643.20

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Solution

The fourth proportional to 378,403.04, 522,199.72 and 208,643.20 is: 287,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,403.04 : 522,199.72 = 208,643.20 : x
  2. Step 2: Convert to fraction form
    378,403.04/522,199.72 = 208,643.20/x
  3. Step 3: Cross multiply
    378,403.04x = 522,199.72 × 208,643.20
  4. Step 4: Simplify right side
    378,403.04x = 108,953,420,619.90
  5. Step 5: Solve for x
    x = 108,953,420,619.90/378,403.04
  6. Step 6: Final answer
    x = 287,929.56

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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.