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Finding the Fourth Proportional to 509,231.61, 702,751.41 and 279,803.23

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Solution

The fourth proportional to 509,231.61, 702,751.41 and 279,803.23 is: 386,134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,231.61 : 702,751.41 = 279,803.23 : x
  2. Step 2: Convert to fraction form
    509,231.61/702,751.41 = 279,803.23/x
  3. Step 3: Cross multiply
    509,231.61x = 702,751.41 × 279,803.23
  4. Step 4: Simplify right side
    509,231.61x = 196,632,112,648.18
  5. Step 5: Solve for x
    x = 196,632,112,648.18/509,231.61
  6. Step 6: Final answer
    x = 386,134.93

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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.