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Finding the Fourth Proportional to 509,245.29, 702,763.47 and 279,798.89

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Solution

The fourth proportional to 509,245.29, 702,763.47 and 279,798.89 is: 386,125.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,245.29 : 702,763.47 = 279,798.89 : x
  2. Step 2: Convert to fraction form
    509,245.29/702,763.47 = 279,798.89/x
  3. Step 3: Cross multiply
    509,245.29x = 702,763.47 × 279,798.89
  4. Step 4: Simplify right side
    509,245.29x = 196,632,435,324.73
  5. Step 5: Solve for x
    x = 196,632,435,324.73/509,245.29
  6. Step 6: Final answer
    x = 386,125.19

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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.