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Finding the Fourth Proportional to 509,096.90, 702,530.98 and 305,260.33

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Solution

The fourth proportional to 509,096.90, 702,530.98 and 305,260.33 is: 421,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,096.90 : 702,530.98 = 305,260.33 : x
  2. Step 2: Convert to fraction form
    509,096.90/702,530.98 = 305,260.33/x
  3. Step 3: Cross multiply
    509,096.90x = 702,530.98 × 305,260.33
  4. Step 4: Simplify right side
    509,096.90x = 214,454,838,790.02
  5. Step 5: Solve for x
    x = 214,454,838,790.02/509,096.90
  6. Step 6: Final answer
    x = 421,245.62

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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.