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Finding the Fourth Proportional to 614,783.20, 848,383.92 and 342,859.36

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Solution

The fourth proportional to 614,783.20, 848,383.92 and 342,859.36 is: 473,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,783.20 : 848,383.92 = 342,859.36 : x
  2. Step 2: Convert to fraction form
    614,783.20/848,383.92 = 342,859.36/x
  3. Step 3: Cross multiply
    614,783.20x = 848,383.92 × 342,859.36
  4. Step 4: Simplify right side
    614,783.20x = 290,876,367,845.49
  5. Step 5: Solve for x
    x = 290,876,367,845.49/614,783.20
  6. Step 6: Final answer
    x = 473,136.49

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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.