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Finding the Fourth Proportional to 545,218.40, 815,883.60 and 345,634.40

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Solution

The fourth proportional to 545,218.40, 815,883.60 and 345,634.40 is: 517,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,218.40 : 815,883.60 = 345,634.40 : x
  2. Step 2: Convert to fraction form
    545,218.40/815,883.60 = 345,634.40/x
  3. Step 3: Cross multiply
    545,218.40x = 815,883.60 × 345,634.40
  4. Step 4: Simplify right side
    545,218.40x = 281,997,438,555.84
  5. Step 5: Solve for x
    x = 281,997,438,555.84/545,218.40
  6. Step 6: Final answer
    x = 517,219.23

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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.