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Finding the Fourth Proportional to 377,886.63, 521,507.13 and 208,120.71

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Solution

The fourth proportional to 377,886.63, 521,507.13 and 208,120.71 is: 287,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,886.63 : 521,507.13 = 208,120.71 : x
  2. Step 2: Convert to fraction form
    377,886.63/521,507.13 = 208,120.71/x
  3. Step 3: Cross multiply
    377,886.63x = 521,507.13 × 208,120.71
  4. Step 4: Simplify right side
    377,886.63x = 108,536,434,165.66
  5. Step 5: Solve for x
    x = 108,536,434,165.66/377,886.63
  6. Step 6: Final answer
    x = 287,219.57

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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.