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Finding the Fourth Proportional to 614,783.40, 921,190.95 and 404,175.30

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Solution

The fourth proportional to 614,783.40, 921,190.95 and 404,175.30 is: 605,615.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,783.40 : 921,190.95 = 404,175.30 : x
  2. Step 2: Convert to fraction form
    614,783.40/921,190.95 = 404,175.30/x
  3. Step 3: Cross multiply
    614,783.40x = 921,190.95 × 404,175.30
  4. Step 4: Simplify right side
    614,783.40x = 372,322,628,573.54
  5. Step 5: Solve for x
    x = 372,322,628,573.54/614,783.40
  6. Step 6: Final answer
    x = 605,615.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.