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Finding the Fourth Proportional to 496,877.76, 685,656.72 and 282,022.20

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Solution

The fourth proportional to 496,877.76, 685,656.72 and 282,022.20 is: 389,171.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,877.76 : 685,656.72 = 282,022.20 : x
  2. Step 2: Convert to fraction form
    496,877.76/685,656.72 = 282,022.20/x
  3. Step 3: Cross multiply
    496,877.76x = 685,656.72 × 282,022.20
  4. Step 4: Simplify right side
    496,877.76x = 193,370,416,619.18
  5. Step 5: Solve for x
    x = 193,370,416,619.18/496,877.76
  6. Step 6: Final answer
    x = 389,171.00

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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.