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Finding the Fourth Proportional to 428,773.76, 591,978.84 and 275,883.04

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Solution

The fourth proportional to 428,773.76, 591,978.84 and 275,883.04 is: 380,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,773.76 : 591,978.84 = 275,883.04 : x
  2. Step 2: Convert to fraction form
    428,773.76/591,978.84 = 275,883.04/x
  3. Step 3: Cross multiply
    428,773.76x = 591,978.84 × 275,883.04
  4. Step 4: Simplify right side
    428,773.76x = 163,316,921,994.87
  5. Step 5: Solve for x
    x = 163,316,921,994.87/428,773.76
  6. Step 6: Final answer
    x = 380,893.00

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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.