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Finding the Fourth Proportional to 428,862.16, 591,743.64 and 259,104.88

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Solution

The fourth proportional to 428,862.16, 591,743.64 and 259,104.88 is: 357,512.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,862.16 : 591,743.64 = 259,104.88 : x
  2. Step 2: Convert to fraction form
    428,862.16/591,743.64 = 259,104.88/x
  3. Step 3: Cross multiply
    428,862.16x = 591,743.64 × 259,104.88
  4. Step 4: Simplify right side
    428,862.16x = 153,323,664,832.96
  5. Step 5: Solve for x
    x = 153,323,664,832.96/428,862.16
  6. Step 6: Final answer
    x = 357,512.69

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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.