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Finding the Fourth Proportional to 509,199.64, 702,695.94 and 279,771.72

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Solution

The fourth proportional to 509,199.64, 702,695.94 and 279,771.72 is: 386,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,199.64 : 702,695.94 = 279,771.72 : x
  2. Step 2: Convert to fraction form
    509,199.64/702,695.94 = 279,771.72/x
  3. Step 3: Cross multiply
    509,199.64x = 702,695.94 × 279,771.72
  4. Step 4: Simplify right side
    509,199.64x = 196,594,451,770.82
  5. Step 5: Solve for x
    x = 196,594,451,770.82/509,199.64
  6. Step 6: Final answer
    x = 386,085.21

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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.