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Finding the Fourth Proportional to 391,954.77, 540,317.66 and 305,816.13

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Solution

The fourth proportional to 391,954.77, 540,317.66 and 305,816.13 is: 421,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,954.77 : 540,317.66 = 305,816.13 : x
  2. Step 2: Convert to fraction form
    391,954.77/540,317.66 = 305,816.13/x
  3. Step 3: Cross multiply
    391,954.77x = 540,317.66 × 305,816.13
  4. Step 4: Simplify right side
    391,954.77x = 165,237,854,222.78
  5. Step 5: Solve for x
    x = 165,237,854,222.78/391,954.77
  6. Step 6: Final answer
    x = 421,573.78

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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.