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Finding the Fourth Proportional to 507,152, 699,891.63 and 280,797.50

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Solution

The fourth proportional to 507,152, 699,891.63 and 280,797.50 is: 387,512.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,152 : 699,891.63 = 280,797.50 : x
  2. Step 2: Convert to fraction form
    507,152/699,891.63 = 280,797.50/x
  3. Step 3: Cross multiply
    507,152x = 699,891.63 × 280,797.50
  4. Step 4: Simplify right side
    507,152x = 196,527,819,974.93
  5. Step 5: Solve for x
    x = 196,527,819,974.93/507,152
  6. Step 6: Final answer
    x = 387,512.66

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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.