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Finding the Fourth Proportional to 509,398.61, 702,976.46 and 279,980.96

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Solution

The fourth proportional to 509,398.61, 702,976.46 and 279,980.96 is: 386,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,398.61 : 702,976.46 = 279,980.96 : x
  2. Step 2: Convert to fraction form
    509,398.61/702,976.46 = 279,980.96/x
  3. Step 3: Cross multiply
    509,398.61x = 702,976.46 × 279,980.96
  4. Step 4: Simplify right side
    509,398.61x = 196,820,019,213.42
  5. Step 5: Solve for x
    x = 196,820,019,213.42/509,398.61
  6. Step 6: Final answer
    x = 386,377.22

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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.