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Finding the Fourth Proportional to 311,134.68, 429,358.77 and 173,312.64

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Solution

The fourth proportional to 311,134.68, 429,358.77 and 173,312.64 is: 239,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,134.68 : 429,358.77 = 173,312.64 : x
  2. Step 2: Convert to fraction form
    311,134.68/429,358.77 = 173,312.64/x
  3. Step 3: Cross multiply
    311,134.68x = 429,358.77 × 173,312.64
  4. Step 4: Simplify right side
    311,134.68x = 74,413,301,935.85
  5. Step 5: Solve for x
    x = 74,413,301,935.85/311,134.68
  6. Step 6: Final answer
    x = 239,167.49

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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.