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Finding the Fourth Proportional to 545,296.20, 816,194.70 and 387,832.20

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Solution

The fourth proportional to 545,296.20, 816,194.70 and 387,832.20 is: 580,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,296.20 : 816,194.70 = 387,832.20 : x
  2. Step 2: Convert to fraction form
    545,296.20/816,194.70 = 387,832.20/x
  3. Step 3: Cross multiply
    545,296.20x = 816,194.70 × 387,832.20
  4. Step 4: Simplify right side
    545,296.20x = 316,546,586,129.34
  5. Step 5: Solve for x
    x = 316,546,586,129.34/545,296.20
  6. Step 6: Final answer
    x = 580,503.93

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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.