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Finding the Fourth Proportional to 496,859.76, 685,631.88 and 282,004.20

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Solution

The fourth proportional to 496,859.76, 685,631.88 and 282,004.20 is: 389,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,859.76 : 685,631.88 = 282,004.20 : x
  2. Step 2: Convert to fraction form
    496,859.76/685,631.88 = 282,004.20/x
  3. Step 3: Cross multiply
    496,859.76x = 685,631.88 × 282,004.20
  4. Step 4: Simplify right side
    496,859.76x = 193,351,069,813.90
  5. Step 5: Solve for x
    x = 193,351,069,813.90/496,859.76
  6. Step 6: Final answer
    x = 389,146.16

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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.