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Finding the Fourth Proportional to 509,231.72, 702,737.42 and 279,803.19

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Solution

The fourth proportional to 509,231.72, 702,737.42 and 279,803.19 is: 386,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,231.72 : 702,737.42 = 279,803.19 : x
  2. Step 2: Convert to fraction form
    509,231.72/702,737.42 = 279,803.19/x
  3. Step 3: Cross multiply
    509,231.72x = 702,737.42 × 279,803.19
  4. Step 4: Simplify right side
    509,231.72x = 196,628,170,449.35
  5. Step 5: Solve for x
    x = 196,628,170,449.35/509,231.72
  6. Step 6: Final answer
    x = 386,127.11

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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.