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Finding the Fourth Proportional to 377,873, 521,464.74 and 208,106.76

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Solution

The fourth proportional to 377,873, 521,464.74 and 208,106.76 is: 287,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,873 : 521,464.74 = 208,106.76 : x
  2. Step 2: Convert to fraction form
    377,873/521,464.74 = 208,106.76/x
  3. Step 3: Cross multiply
    377,873x = 521,464.74 × 208,106.76
  4. Step 4: Simplify right side
    377,873x = 108,520,337,495.64
  5. Step 5: Solve for x
    x = 108,520,337,495.64/377,873
  6. Step 6: Final answer
    x = 287,187.33

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1.5x scale

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.