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Finding the Fourth Proportional to 406,396.95, 561,099 and 253,496.49

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Solution

The fourth proportional to 406,396.95, 561,099 and 253,496.49 is: 349,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,396.95 : 561,099 = 253,496.49 : x
  2. Step 2: Convert to fraction form
    406,396.95/561,099 = 253,496.49/x
  3. Step 3: Cross multiply
    406,396.95x = 561,099 × 253,496.49
  4. Step 4: Simplify right side
    406,396.95x = 142,236,627,042.51
  5. Step 5: Solve for x
    x = 142,236,627,042.51/406,396.95
  6. Step 6: Final answer
    x = 349,994.33

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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.