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Finding the Fourth Proportional to 512,078.58, 706,794.93 and 311,043.06

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Solution

The fourth proportional to 512,078.58, 706,794.93 and 311,043.06 is: 429,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,078.58 : 706,794.93 = 311,043.06 : x
  2. Step 2: Convert to fraction form
    512,078.58/706,794.93 = 311,043.06/x
  3. Step 3: Cross multiply
    512,078.58x = 706,794.93 × 311,043.06
  4. Step 4: Simplify right side
    512,078.58x = 219,843,657,819.69
  5. Step 5: Solve for x
    x = 219,843,657,819.69/512,078.58
  6. Step 6: Final answer
    x = 429,316.25

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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.