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Finding the Fourth Proportional to 378,322.42, 522,088.42 and 208,562.62

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Solution

The fourth proportional to 378,322.42, 522,088.42 and 208,562.62 is: 287,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,322.42 : 522,088.42 = 208,562.62 : x
  2. Step 2: Convert to fraction form
    378,322.42/522,088.42 = 208,562.62/x
  3. Step 3: Cross multiply
    378,322.42x = 522,088.42 × 208,562.62
  4. Step 4: Simplify right side
    378,322.42x = 108,888,128,746.86
  5. Step 5: Solve for x
    x = 108,888,128,746.86/378,322.42
  6. Step 6: Final answer
    x = 287,818.33

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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.