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Finding the Fourth Proportional to 378,925.83, 522,921.92 and 209,159.91

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Solution

The fourth proportional to 378,925.83, 522,921.92 and 209,159.91 is: 288,643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,925.83 : 522,921.92 = 209,159.91 : x
  2. Step 2: Convert to fraction form
    378,925.83/522,921.92 = 209,159.91/x
  3. Step 3: Cross multiply
    378,925.83x = 522,921.92 × 209,159.91
  4. Step 4: Simplify right side
    378,925.83x = 109,374,300,678.43
  5. Step 5: Solve for x
    x = 109,374,300,678.43/378,925.83
  6. Step 6: Final answer
    x = 288,643.03

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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.