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Finding the Fourth Proportional to 428,994.32, 592,027.98 and 259,195.64

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Solution

The fourth proportional to 428,994.32, 592,027.98 and 259,195.64 is: 357,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,994.32 : 592,027.98 = 259,195.64 : x
  2. Step 2: Convert to fraction form
    428,994.32/592,027.98 = 259,195.64/x
  3. Step 3: Cross multiply
    428,994.32x = 592,027.98 × 259,195.64
  4. Step 4: Simplify right side
    428,994.32x = 153,451,071,174.01
  5. Step 5: Solve for x
    x = 153,451,071,174.01/428,994.32
  6. Step 6: Final answer
    x = 357,699.54

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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.