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Finding the Fourth Proportional to 378,639.47, 522,525.27 and 208,879.67

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Solution

The fourth proportional to 378,639.47, 522,525.27 and 208,879.67 is: 288,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,639.47 : 522,525.27 = 208,879.67 : x
  2. Step 2: Convert to fraction form
    378,639.47/522,525.27 = 208,879.67/x
  3. Step 3: Cross multiply
    378,639.47x = 522,525.27 × 208,879.67
  4. Step 4: Simplify right side
    378,639.47x = 109,144,905,964.26
  5. Step 5: Solve for x
    x = 109,144,905,964.26/378,639.47
  6. Step 6: Final answer
    x = 288,255.49

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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.