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Finding the Fourth Proportional to 312,214.82, 430,856.45 and 168,974.86

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Solution

The fourth proportional to 312,214.82, 430,856.45 and 168,974.86 is: 233,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,214.82 : 430,856.45 = 168,974.86 : x
  2. Step 2: Convert to fraction form
    312,214.82/430,856.45 = 168,974.86/x
  3. Step 3: Cross multiply
    312,214.82x = 430,856.45 × 168,974.86
  4. Step 4: Simplify right side
    312,214.82x = 72,803,908,318.85
  5. Step 5: Solve for x
    x = 72,803,908,318.85/312,214.82
  6. Step 6: Final answer
    x = 233,185.31

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1.5x scale

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.