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Finding the Fourth Proportional to 450,640.67, 621,952.43 and 257,047.43

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Solution

The fourth proportional to 450,640.67, 621,952.43 and 257,047.43 is: 354,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,640.67 : 621,952.43 = 257,047.43 : x
  2. Step 2: Convert to fraction form
    450,640.67/621,952.43 = 257,047.43/x
  3. Step 3: Cross multiply
    450,640.67x = 621,952.43 × 257,047.43
  4. Step 4: Simplify right side
    450,640.67x = 159,871,269,318.76
  5. Step 5: Solve for x
    x = 159,871,269,318.76/450,640.67
  6. Step 6: Final answer
    x = 354,764.41

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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.