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Finding the Fourth Proportional to 541,780, 747,654.53 and 312,336.19

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Solution

The fourth proportional to 541,780, 747,654.53 and 312,336.19 is: 431,022.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,780 : 747,654.53 = 312,336.19 : x
  2. Step 2: Convert to fraction form
    541,780/747,654.53 = 312,336.19/x
  3. Step 3: Cross multiply
    541,780x = 747,654.53 × 312,336.19
  4. Step 4: Simplify right side
    541,780x = 233,519,567,336.44
  5. Step 5: Solve for x
    x = 233,519,567,336.44/541,780
  6. Step 6: Final answer
    x = 431,022.86

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1.5x scale

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.