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Finding the Fourth Proportional to 309,536.92, 427,165.40 and 180,471.79

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Solution

The fourth proportional to 309,536.92, 427,165.40 and 180,471.79 is: 249,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,536.92 : 427,165.40 = 180,471.79 : x
  2. Step 2: Convert to fraction form
    309,536.92/427,165.40 = 180,471.79/x
  3. Step 3: Cross multiply
    309,536.92x = 427,165.40 × 180,471.79
  4. Step 4: Simplify right side
    309,536.92x = 77,091,301,325.88
  5. Step 5: Solve for x
    x = 77,091,301,325.88/309,536.92
  6. Step 6: Final answer
    x = 249,053.66

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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.