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Finding the Fourth Proportional to 377,165.80, 520,475.32 and 207,398.44

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Solution

The fourth proportional to 377,165.80, 520,475.32 and 207,398.44 is: 286,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,165.80 : 520,475.32 = 207,398.44 : x
  2. Step 2: Convert to fraction form
    377,165.80/520,475.32 = 207,398.44/x
  3. Step 3: Cross multiply
    377,165.80x = 520,475.32 × 207,398.44
  4. Step 4: Simplify right side
    377,165.80x = 107,945,769,426.50
  5. Step 5: Solve for x
    x = 107,945,769,426.50/377,165.80
  6. Step 6: Final answer
    x = 286,202.43

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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.