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Finding the Fourth Proportional to 434,359.79, 650,819.58 and 307,370.82

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Solution

The fourth proportional to 434,359.79, 650,819.58 and 307,370.82 is: 460,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,359.79 : 650,819.58 = 307,370.82 : x
  2. Step 2: Convert to fraction form
    434,359.79/650,819.58 = 307,370.82/x
  3. Step 3: Cross multiply
    434,359.79x = 650,819.58 × 307,370.82
  4. Step 4: Simplify right side
    434,359.79x = 200,042,947,976.66
  5. Step 5: Solve for x
    x = 200,042,947,976.66/434,359.79
  6. Step 6: Final answer
    x = 460,546.66

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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.