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Finding the Fourth Proportional to 404,137, 557,420.70 and 343,285.48

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Solution

The fourth proportional to 404,137, 557,420.70 and 343,285.48 is: 473,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,137 : 557,420.70 = 343,285.48 : x
  2. Step 2: Convert to fraction form
    404,137/557,420.70 = 343,285.48/x
  3. Step 3: Cross multiply
    404,137x = 557,420.70 × 343,285.48
  4. Step 4: Simplify right side
    404,137x = 191,354,432,561.44
  5. Step 5: Solve for x
    x = 191,354,432,561.44/404,137
  6. Step 6: Final answer
    x = 473,489.02

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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.