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Finding the Fourth Proportional to 492,430.91, 679,683.69 and 320,819.85

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Solution

The fourth proportional to 492,430.91, 679,683.69 and 320,819.85 is: 442,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,430.91 : 679,683.69 = 320,819.85 : x
  2. Step 2: Convert to fraction form
    492,430.91/679,683.69 = 320,819.85/x
  3. Step 3: Cross multiply
    492,430.91x = 679,683.69 × 320,819.85
  4. Step 4: Simplify right side
    492,430.91x = 218,056,019,473.25
  5. Step 5: Solve for x
    x = 218,056,019,473.25/492,430.91
  6. Step 6: Final answer
    x = 442,815.46

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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.