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Finding the Fourth Proportional to 535,751.68, 739,153.76 and 306,144

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Solution

The fourth proportional to 535,751.68, 739,153.76 and 306,144 is: 422,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,751.68 : 739,153.76 = 306,144 : x
  2. Step 2: Convert to fraction form
    535,751.68/739,153.76 = 306,144/x
  3. Step 3: Cross multiply
    535,751.68x = 739,153.76 × 306,144
  4. Step 4: Simplify right side
    535,751.68x = 226,287,488,701.44
  5. Step 5: Solve for x
    x = 226,287,488,701.44/535,751.68
  6. Step 6: Final answer
    x = 422,373.83

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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.