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Finding the Fourth Proportional to 391,720, 540,738.96 and 264,567.82

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Solution

The fourth proportional to 391,720, 540,738.96 and 264,567.82 is: 365,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,720 : 540,738.96 = 264,567.82 : x
  2. Step 2: Convert to fraction form
    391,720/540,738.96 = 264,567.82/x
  3. Step 3: Cross multiply
    391,720x = 540,738.96 × 264,567.82
  4. Step 4: Simplify right side
    391,720x = 143,062,127,836.27
  5. Step 5: Solve for x
    x = 143,062,127,836.27/391,720
  6. Step 6: Final answer
    x = 365,215.28

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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.