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Finding the Fourth Proportional to 465,809.55, 643,305.15 and 320,991.89

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Solution

The fourth proportional to 465,809.55, 643,305.15 and 320,991.89 is: 443,305.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,809.55 : 643,305.15 = 320,991.89 : x
  2. Step 2: Convert to fraction form
    465,809.55/643,305.15 = 320,991.89/x
  3. Step 3: Cross multiply
    465,809.55x = 643,305.15 × 320,991.89
  4. Step 4: Simplify right side
    465,809.55x = 206,495,732,728.71
  5. Step 5: Solve for x
    x = 206,495,732,728.71/465,809.55
  6. Step 6: Final answer
    x = 443,305.06

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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.