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Finding the Fourth Proportional to 343,456, 473,808 and 242,909.44

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Solution

The fourth proportional to 343,456, 473,808 and 242,909.44 is: 335,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,456 : 473,808 = 242,909.44 : x
  2. Step 2: Convert to fraction form
    343,456/473,808 = 242,909.44/x
  3. Step 3: Cross multiply
    343,456x = 473,808 × 242,909.44
  4. Step 4: Simplify right side
    343,456x = 115,092,435,947.52
  5. Step 5: Solve for x
    x = 115,092,435,947.52/343,456
  6. Step 6: Final answer
    x = 335,100.96

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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.