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Finding the Fourth Proportional to 591,702, 816,548.76 and 323,430

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Solution

The fourth proportional to 591,702, 816,548.76 and 323,430 is: 446,333.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,702 : 816,548.76 = 323,430 : x
  2. Step 2: Convert to fraction form
    591,702/816,548.76 = 323,430/x
  3. Step 3: Cross multiply
    591,702x = 816,548.76 × 323,430
  4. Step 4: Simplify right side
    591,702x = 264,096,365,446.80
  5. Step 5: Solve for x
    x = 264,096,365,446.80/591,702
  6. Step 6: Final answer
    x = 446,333.40

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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.