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Finding the Fourth Proportional to 330,704.79, 455,697.14 and 312,840.51

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Solution

The fourth proportional to 330,704.79, 455,697.14 and 312,840.51 is: 431,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,704.79 : 455,697.14 = 312,840.51 : x
  2. Step 2: Convert to fraction form
    330,704.79/455,697.14 = 312,840.51/x
  3. Step 3: Cross multiply
    330,704.79x = 455,697.14 × 312,840.51
  4. Step 4: Simplify right side
    330,704.79x = 142,560,524,118.94
  5. Step 5: Solve for x
    x = 142,560,524,118.94/330,704.79
  6. Step 6: Final answer
    x = 431,080.92

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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.