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Finding the Fourth Proportional to 413,996.22, 620,931.94 and 265,275.78

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Solution

The fourth proportional to 413,996.22, 620,931.94 and 265,275.78 is: 397,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,996.22 : 620,931.94 = 265,275.78 : x
  2. Step 2: Convert to fraction form
    413,996.22/620,931.94 = 265,275.78/x
  3. Step 3: Cross multiply
    413,996.22x = 620,931.94 × 265,275.78
  4. Step 4: Simplify right side
    413,996.22x = 164,718,204,710.41
  5. Step 5: Solve for x
    x = 164,718,204,710.41/413,996.22
  6. Step 6: Final answer
    x = 397,873.69

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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.