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Finding the Fourth Proportional to 377,903.74, 521,507.16 and 208,137.86

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Solution

The fourth proportional to 377,903.74, 521,507.16 and 208,137.86 is: 287,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,903.74 : 521,507.16 = 208,137.86 : x
  2. Step 2: Convert to fraction form
    377,903.74/521,507.16 = 208,137.86/x
  3. Step 3: Cross multiply
    377,903.74x = 521,507.16 × 208,137.86
  4. Step 4: Simplify right side
    377,903.74x = 108,545,383,216.39
  5. Step 5: Solve for x
    x = 108,545,383,216.39/377,903.74
  6. Step 6: Final answer
    x = 287,230.25

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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.