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Finding the Fourth Proportional to 377,137.50, 520,464.33 and 207,367.98

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Solution

The fourth proportional to 377,137.50, 520,464.33 and 207,367.98 is: 286,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,137.50 : 520,464.33 = 207,367.98 : x
  2. Step 2: Convert to fraction form
    377,137.50/520,464.33 = 207,367.98/x
  3. Step 3: Cross multiply
    377,137.50x = 520,464.33 × 207,367.98
  4. Step 4: Simplify right side
    377,137.50x = 107,927,636,774.15
  5. Step 5: Solve for x
    x = 107,927,636,774.15/377,137.50
  6. Step 6: Final answer
    x = 286,175.83

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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.