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Finding the Fourth Proportional to 512,080.58, 706,797.69 and 311,045.06

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Solution

The fourth proportional to 512,080.58, 706,797.69 and 311,045.06 is: 429,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,080.58 : 706,797.69 = 311,045.06 : x
  2. Step 2: Convert to fraction form
    512,080.58/706,797.69 = 311,045.06/x
  3. Step 3: Cross multiply
    512,080.58x = 706,797.69 × 311,045.06
  4. Step 4: Simplify right side
    512,080.58x = 219,845,929,893.91
  5. Step 5: Solve for x
    x = 219,845,929,893.91/512,080.58
  6. Step 6: Final answer
    x = 429,319.01

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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.