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Finding the Fourth Proportional to 307,416.91, 461,130.06 and 138,819.72

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Solution

The fourth proportional to 307,416.91, 461,130.06 and 138,819.72 is: 208,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,416.91 : 461,130.06 = 138,819.72 : x
  2. Step 2: Convert to fraction form
    307,416.91/461,130.06 = 138,819.72/x
  3. Step 3: Cross multiply
    307,416.91x = 461,130.06 × 138,819.72
  4. Step 4: Simplify right side
    307,416.91x = 64,013,944,171.81
  5. Step 5: Solve for x
    x = 64,013,944,171.81/307,416.91
  6. Step 6: Final answer
    x = 208,231.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.