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Finding the Fourth Proportional to 456,817.52, 685,245.48 and 141,280.40

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Solution

The fourth proportional to 456,817.52, 685,245.48 and 141,280.40 is: 211,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,817.52 : 685,245.48 = 141,280.40 : x
  2. Step 2: Convert to fraction form
    456,817.52/685,245.48 = 141,280.40/x
  3. Step 3: Cross multiply
    456,817.52x = 685,245.48 × 141,280.40
  4. Step 4: Simplify right side
    456,817.52x = 96,811,755,512.59
  5. Step 5: Solve for x
    x = 96,811,755,512.59/456,817.52
  6. Step 6: Final answer
    x = 211,926.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.