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Finding the Fourth Proportional to 408,878.01, 613,054.58 and 268,472.61

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Solution

The fourth proportional to 408,878.01, 613,054.58 and 268,472.61 is: 402,536.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,878.01 : 613,054.58 = 268,472.61 : x
  2. Step 2: Convert to fraction form
    408,878.01/613,054.58 = 268,472.61/x
  3. Step 3: Cross multiply
    408,878.01x = 613,054.58 × 268,472.61
  4. Step 4: Simplify right side
    408,878.01x = 164,588,361,822.69
  5. Step 5: Solve for x
    x = 164,588,361,822.69/408,878.01
  6. Step 6: Final answer
    x = 402,536.59

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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.