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Finding the Fourth Proportional to 427,817.50, 590,543.67 and 248,969.50

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Solution

The fourth proportional to 427,817.50, 590,543.67 and 248,969.50 is: 343,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,817.50 : 590,543.67 = 248,969.50 : x
  2. Step 2: Convert to fraction form
    427,817.50/590,543.67 = 248,969.50/x
  3. Step 3: Cross multiply
    427,817.50x = 590,543.67 × 248,969.50
  4. Step 4: Simplify right side
    427,817.50x = 147,027,362,248.07
  5. Step 5: Solve for x
    x = 147,027,362,248.07/427,817.50
  6. Step 6: Final answer
    x = 343,668.42

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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.