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Finding the Fourth Proportional to 419,848.34, 578,933.34 and 283,645.76

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Solution

The fourth proportional to 419,848.34, 578,933.34 and 283,645.76 is: 391,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,848.34 : 578,933.34 = 283,645.76 : x
  2. Step 2: Convert to fraction form
    419,848.34/578,933.34 = 283,645.76/x
  3. Step 3: Cross multiply
    419,848.34x = 578,933.34 × 283,645.76
  4. Step 4: Simplify right side
    419,848.34x = 164,211,987,213.64
  5. Step 5: Solve for x
    x = 164,211,987,213.64/419,848.34
  6. Step 6: Final answer
    x = 391,122.15

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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.