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Finding the Fourth Proportional to 458,410.80, 634,044.60 and 405,418.80

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Solution

The fourth proportional to 458,410.80, 634,044.60 and 405,418.80 is: 560,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,410.80 : 634,044.60 = 405,418.80 : x
  2. Step 2: Convert to fraction form
    458,410.80/634,044.60 = 405,418.80/x
  3. Step 3: Cross multiply
    458,410.80x = 634,044.60 × 405,418.80
  4. Step 4: Simplify right side
    458,410.80x = 257,053,600,878.48
  5. Step 5: Solve for x
    x = 257,053,600,878.48/458,410.80
  6. Step 6: Final answer
    x = 560,749.44

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1.5x scale

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.