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Finding the Fourth Proportional to 315,563.12, 435,325.62 and 229,388.48

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Solution

The fourth proportional to 315,563.12, 435,325.62 and 229,388.48 is: 316,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,563.12 : 435,325.62 = 229,388.48 : x
  2. Step 2: Convert to fraction form
    315,563.12/435,325.62 = 229,388.48/x
  3. Step 3: Cross multiply
    315,563.12x = 435,325.62 × 229,388.48
  4. Step 4: Simplify right side
    315,563.12x = 99,858,682,276.86
  5. Step 5: Solve for x
    x = 99,858,682,276.86/315,563.12
  6. Step 6: Final answer
    x = 316,445.98

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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.