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Finding the Fourth Proportional to 322,884.78, 484,322.31 and 145,266.36

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Solution

The fourth proportional to 322,884.78, 484,322.31 and 145,266.36 is: 217,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,884.78 : 484,322.31 = 145,266.36 : x
  2. Step 2: Convert to fraction form
    322,884.78/484,322.31 = 145,266.36/x
  3. Step 3: Cross multiply
    322,884.78x = 484,322.31 × 145,266.36
  4. Step 4: Simplify right side
    322,884.78x = 70,355,739,040.49
  5. Step 5: Solve for x
    x = 70,355,739,040.49/322,884.78
  6. Step 6: Final answer
    x = 217,897.35

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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.