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Finding the Fourth Proportional to 377,816, 521,386.08 and 208,049.72

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Solution

The fourth proportional to 377,816, 521,386.08 and 208,049.72 is: 287,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,816 : 521,386.08 = 208,049.72 : x
  2. Step 2: Convert to fraction form
    377,816/521,386.08 = 208,049.72/x
  3. Step 3: Cross multiply
    377,816x = 521,386.08 × 208,049.72
  4. Step 4: Simplify right side
    377,816x = 108,474,227,955.90
  5. Step 5: Solve for x
    x = 108,474,227,955.90/377,816
  6. Step 6: Final answer
    x = 287,108.61

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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.