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Finding the Fourth Proportional to 415,688.70, 621,976.05 and 296,022.30

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Solution

The fourth proportional to 415,688.70, 621,976.05 and 296,022.30 is: 442,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,688.70 : 621,976.05 = 296,022.30 : x
  2. Step 2: Convert to fraction form
    415,688.70/621,976.05 = 296,022.30/x
  3. Step 3: Cross multiply
    415,688.70x = 621,976.05 × 296,022.30
  4. Step 4: Simplify right side
    415,688.70x = 184,118,780,865.92
  5. Step 5: Solve for x
    x = 184,118,780,865.92/415,688.70
  6. Step 6: Final answer
    x = 442,924.67

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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.