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Finding the Fourth Proportional to 313,165.76, 432,489.12 and 293,103.68

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Solution

The fourth proportional to 313,165.76, 432,489.12 and 293,103.68 is: 404,782.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,165.76 : 432,489.12 = 293,103.68 : x
  2. Step 2: Convert to fraction form
    313,165.76/432,489.12 = 293,103.68/x
  3. Step 3: Cross multiply
    313,165.76x = 432,489.12 × 293,103.68
  4. Step 4: Simplify right side
    313,165.76x = 126,764,152,631.96
  5. Step 5: Solve for x
    x = 126,764,152,631.96/313,165.76
  6. Step 6: Final answer
    x = 404,782.93

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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.