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Finding the Fourth Proportional to 554,721.42, 765,310.10 and 409,876.41

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Solution

The fourth proportional to 554,721.42, 765,310.10 and 409,876.41 is: 565,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,721.42 : 765,310.10 = 409,876.41 : x
  2. Step 2: Convert to fraction form
    554,721.42/765,310.10 = 409,876.41/x
  3. Step 3: Cross multiply
    554,721.42x = 765,310.10 × 409,876.41
  4. Step 4: Simplify right side
    554,721.42x = 313,682,554,275.36
  5. Step 5: Solve for x
    x = 313,682,554,275.36/554,721.42
  6. Step 6: Final answer
    x = 565,477.63

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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.