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Finding the Fourth Proportional to 409,878.66, 610,743.34 and 365,161.80

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Solution

The fourth proportional to 409,878.66, 610,743.34 and 365,161.80 is: 544,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,878.66 : 610,743.34 = 365,161.80 : x
  2. Step 2: Convert to fraction form
    409,878.66/610,743.34 = 365,161.80/x
  3. Step 3: Cross multiply
    409,878.66x = 610,743.34 × 365,161.80
  4. Step 4: Simplify right side
    409,878.66x = 223,020,137,372.41
  5. Step 5: Solve for x
    x = 223,020,137,372.41/409,878.66
  6. Step 6: Final answer
    x = 544,112.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.