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Finding the Fourth Proportional to 496,279.65, 684,646.26 and 305,180.13

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Solution

The fourth proportional to 496,279.65, 684,646.26 and 305,180.13 is: 421,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,279.65 : 684,646.26 = 305,180.13 : x
  2. Step 2: Convert to fraction form
    496,279.65/684,646.26 = 305,180.13/x
  3. Step 3: Cross multiply
    496,279.65x = 684,646.26 × 305,180.13
  4. Step 4: Simplify right side
    496,279.65x = 208,940,434,630.81
  5. Step 5: Solve for x
    x = 208,940,434,630.81/496,279.65
  6. Step 6: Final answer
    x = 421,013.50

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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.