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Finding the Fourth Proportional to 509,194.85, 702,700.04 and 279,755.09

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Solution

The fourth proportional to 509,194.85, 702,700.04 and 279,755.09 is: 386,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,194.85 : 702,700.04 = 279,755.09 : x
  2. Step 2: Convert to fraction form
    509,194.85/702,700.04 = 279,755.09/x
  3. Step 3: Cross multiply
    509,194.85x = 702,700.04 × 279,755.09
  4. Step 4: Simplify right side
    509,194.85x = 196,583,911,534.43
  5. Step 5: Solve for x
    x = 196,583,911,534.43/509,194.85
  6. Step 6: Final answer
    x = 386,068.15

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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.