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Finding the Fourth Proportional to 510,359.80, 704,290.98 and 280,912.12

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Solution

The fourth proportional to 510,359.80, 704,290.98 and 280,912.12 is: 387,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,359.80 : 704,290.98 = 280,912.12 : x
  2. Step 2: Convert to fraction form
    510,359.80/704,290.98 = 280,912.12/x
  3. Step 3: Cross multiply
    510,359.80x = 704,290.98 × 280,912.12
  4. Step 4: Simplify right side
    510,359.80x = 197,843,872,288.68
  5. Step 5: Solve for x
    x = 197,843,872,288.68/510,359.80
  6. Step 6: Final answer
    x = 387,655.67

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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.