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Finding the Fourth Proportional to 496,605.84, 685,316.61 and 278,784.24

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Solution

The fourth proportional to 496,605.84, 685,316.61 and 278,784.24 is: 384,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,605.84 : 685,316.61 = 278,784.24 : x
  2. Step 2: Convert to fraction form
    496,605.84/685,316.61 = 278,784.24/x
  3. Step 3: Cross multiply
    496,605.84x = 685,316.61 × 278,784.24
  4. Step 4: Simplify right side
    496,605.84x = 191,055,470,278.23
  5. Step 5: Solve for x
    x = 191,055,470,278.23/496,605.84
  6. Step 6: Final answer
    x = 384,722.56

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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.