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Finding the Fourth Proportional to 377,118.41, 520,433.62 and 205,047.93

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Solution

The fourth proportional to 377,118.41, 520,433.62 and 205,047.93 is: 282,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,118.41 : 520,433.62 = 205,047.93 : x
  2. Step 2: Convert to fraction form
    377,118.41/520,433.62 = 205,047.93/x
  3. Step 3: Cross multiply
    377,118.41x = 520,433.62 × 205,047.93
  4. Step 4: Simplify right side
    377,118.41x = 106,713,836,365.02
  5. Step 5: Solve for x
    x = 106,713,836,365.02/377,118.41
  6. Step 6: Final answer
    x = 282,971.69

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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.