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Finding the Fourth Proportional to 496,209.13, 685,699.47 and 405,532.01

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Solution

The fourth proportional to 496,209.13, 685,699.47 and 405,532.01 is: 560,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,209.13 : 685,699.47 = 405,532.01 : x
  2. Step 2: Convert to fraction form
    496,209.13/685,699.47 = 405,532.01/x
  3. Step 3: Cross multiply
    496,209.13x = 685,699.47 × 405,532.01
  4. Step 4: Simplify right side
    496,209.13x = 278,073,084,325.04
  5. Step 5: Solve for x
    x = 278,073,084,325.04/496,209.13
  6. Step 6: Final answer
    x = 560,394.94

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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.