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Finding the Fourth Proportional to 428,694.48, 591,257.04 and 275,750.16

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Solution

The fourth proportional to 428,694.48, 591,257.04 and 275,750.16 is: 380,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,694.48 : 591,257.04 = 275,750.16 : x
  2. Step 2: Convert to fraction form
    428,694.48/591,257.04 = 275,750.16/x
  3. Step 3: Cross multiply
    428,694.48x = 591,257.04 × 275,750.16
  4. Step 4: Simplify right side
    428,694.48x = 163,039,223,381.13
  5. Step 5: Solve for x
    x = 163,039,223,381.13/428,694.48
  6. Step 6: Final answer
    x = 380,315.66

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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.