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Finding the Fourth Proportional to 343,005.80, 515,091.90 and 254,359.40

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Solution

The fourth proportional to 343,005.80, 515,091.90 and 254,359.40 is: 381,971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,005.80 : 515,091.90 = 254,359.40 : x
  2. Step 2: Convert to fraction form
    343,005.80/515,091.90 = 254,359.40/x
  3. Step 3: Cross multiply
    343,005.80x = 515,091.90 × 254,359.40
  4. Step 4: Simplify right side
    343,005.80x = 131,018,466,628.86
  5. Step 5: Solve for x
    x = 131,018,466,628.86/343,005.80
  6. Step 6: Final answer
    x = 381,971.58

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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.