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Finding the Fourth Proportional to 507,736.50, 700,684.05 and 278,291.94

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Solution

The fourth proportional to 507,736.50, 700,684.05 and 278,291.94 is: 384,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,736.50 : 700,684.05 = 278,291.94 : x
  2. Step 2: Convert to fraction form
    507,736.50/700,684.05 = 278,291.94/x
  3. Step 3: Cross multiply
    507,736.50x = 700,684.05 × 278,291.94
  4. Step 4: Simplify right side
    507,736.50x = 194,994,723,601.56
  5. Step 5: Solve for x
    x = 194,994,723,601.56/507,736.50
  6. Step 6: Final answer
    x = 384,047.09

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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.