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Finding the Fourth Proportional to 314,520.67, 434,095.41 and 185,451.45

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Solution

The fourth proportional to 314,520.67, 434,095.41 and 185,451.45 is: 255,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,520.67 : 434,095.41 = 185,451.45 : x
  2. Step 2: Convert to fraction form
    314,520.67/434,095.41 = 185,451.45/x
  3. Step 3: Cross multiply
    314,520.67x = 434,095.41 × 185,451.45
  4. Step 4: Simplify right side
    314,520.67x = 80,503,622,598.55
  5. Step 5: Solve for x
    x = 80,503,622,598.55/314,520.67
  6. Step 6: Final answer
    x = 255,956.54

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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.