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Finding the Fourth Proportional to 428,341.84, 591,380.43 and 275,645.34

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Solution

The fourth proportional to 428,341.84, 591,380.43 and 275,645.34 is: 380,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,341.84 : 591,380.43 = 275,645.34 : x
  2. Step 2: Convert to fraction form
    428,341.84/591,380.43 = 275,645.34/x
  3. Step 3: Cross multiply
    428,341.84x = 591,380.43 × 275,645.34
  4. Step 4: Simplify right side
    428,341.84x = 163,011,258,663.03
  5. Step 5: Solve for x
    x = 163,011,258,663.03/428,341.84
  6. Step 6: Final answer
    x = 380,563.48

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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.