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Finding the Fourth Proportional to 438,659.75, 657,855.68 and 185,935.50

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Solution

The fourth proportional to 438,659.75, 657,855.68 and 185,935.50 is: 278,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,659.75 : 657,855.68 = 185,935.50 : x
  2. Step 2: Convert to fraction form
    438,659.75/657,855.68 = 185,935.50/x
  3. Step 3: Cross multiply
    438,659.75x = 657,855.68 × 185,935.50
  4. Step 4: Simplify right side
    438,659.75x = 122,318,723,858.96
  5. Step 5: Solve for x
    x = 122,318,723,858.96/438,659.75
  6. Step 6: Final answer
    x = 278,846.47

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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.