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Finding the Fourth Proportional to 512,815.60, 707,675.16 and 311,676.40

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Solution

The fourth proportional to 512,815.60, 707,675.16 and 311,676.40 is: 430,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,815.60 : 707,675.16 = 311,676.40 : x
  2. Step 2: Convert to fraction form
    512,815.60/707,675.16 = 311,676.40/x
  3. Step 3: Cross multiply
    512,815.60x = 707,675.16 × 311,676.40
  4. Step 4: Simplify right side
    512,815.60x = 220,565,646,238.22
  5. Step 5: Solve for x
    x = 220,565,646,238.22/512,815.60
  6. Step 6: Final answer
    x = 430,107.13

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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.