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Finding the Fourth Proportional to 419,663, 578,961.52 and 292,412.36

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Solution

The fourth proportional to 419,663, 578,961.52 and 292,412.36 is: 403,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,663 : 578,961.52 = 292,412.36 : x
  2. Step 2: Convert to fraction form
    419,663/578,961.52 = 292,412.36/x
  3. Step 3: Cross multiply
    419,663x = 578,961.52 × 292,412.36
  4. Step 4: Simplify right side
    419,663x = 169,295,504,412.39
  5. Step 5: Solve for x
    x = 169,295,504,412.39/419,663
  6. Step 6: Final answer
    x = 403,408.22

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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.