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Finding the Fourth Proportional to 496,857.06, 745,269.70 and 208,821.30

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Solution

The fourth proportional to 496,857.06, 745,269.70 and 208,821.30 is: 313,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,857.06 : 745,269.70 = 208,821.30 : x
  2. Step 2: Convert to fraction form
    496,857.06/745,269.70 = 208,821.30/x
  3. Step 3: Cross multiply
    496,857.06x = 745,269.70 × 208,821.30
  4. Step 4: Simplify right side
    496,857.06x = 155,628,190,947.31
  5. Step 5: Solve for x
    x = 155,628,190,947.31/496,857.06
  6. Step 6: Final answer
    x = 313,225.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.