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Finding the Fourth Proportional to 285,751.60, 428,627.40 and 258,195.40

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Solution

The fourth proportional to 285,751.60, 428,627.40 and 258,195.40 is: 387,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,751.60 : 428,627.40 = 258,195.40 : x
  2. Step 2: Convert to fraction form
    285,751.60/428,627.40 = 258,195.40/x
  3. Step 3: Cross multiply
    285,751.60x = 428,627.40 × 258,195.40
  4. Step 4: Simplify right side
    285,751.60x = 110,669,622,993.96
  5. Step 5: Solve for x
    x = 110,669,622,993.96/285,751.60
  6. Step 6: Final answer
    x = 387,293.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.