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Finding the Fourth Proportional to 312,254.92, 430,992.53 and 203,630.02

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Solution

The fourth proportional to 312,254.92, 430,992.53 and 203,630.02 is: 281,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,254.92 : 430,992.53 = 203,630.02 : x
  2. Step 2: Convert to fraction form
    312,254.92/430,992.53 = 203,630.02/x
  3. Step 3: Cross multiply
    312,254.92x = 430,992.53 × 203,630.02
  4. Step 4: Simplify right side
    312,254.92x = 87,763,017,503.75
  5. Step 5: Solve for x
    x = 87,763,017,503.75/312,254.92
  6. Step 6: Final answer
    x = 281,062.08

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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.