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Finding the Fourth Proportional to 428,824.75, 643,237.13 and 293,755.63

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Solution

The fourth proportional to 428,824.75, 643,237.13 and 293,755.63 is: 440,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,824.75 : 643,237.13 = 293,755.63 : x
  2. Step 2: Convert to fraction form
    428,824.75/643,237.13 = 293,755.63/x
  3. Step 3: Cross multiply
    428,824.75x = 643,237.13 × 293,755.63
  4. Step 4: Simplify right side
    428,824.75x = 188,954,528,362.54
  5. Step 5: Solve for x
    x = 188,954,528,362.54/428,824.75
  6. Step 6: Final answer
    x = 440,633.45

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1.5x scale

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.