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Finding the Fourth Proportional to 591,703, 816,550.14 and 323,431

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Solution

The fourth proportional to 591,703, 816,550.14 and 323,431 is: 446,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,703 : 816,550.14 = 323,431 : x
  2. Step 2: Convert to fraction form
    591,703/816,550.14 = 323,431/x
  3. Step 3: Cross multiply
    591,703x = 816,550.14 × 323,431
  4. Step 4: Simplify right side
    591,703x = 264,097,628,330.34
  5. Step 5: Solve for x
    x = 264,097,628,330.34/591,703
  6. Step 6: Final answer
    x = 446,334.78

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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.