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Finding the Fourth Proportional to 413,921.28, 620,864.64 and 118,433.28

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Solution

The fourth proportional to 413,921.28, 620,864.64 and 118,433.28 is: 177,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,921.28 : 620,864.64 = 118,433.28 : x
  2. Step 2: Convert to fraction form
    413,921.28/620,864.64 = 118,433.28/x
  3. Step 3: Cross multiply
    413,921.28x = 620,864.64 × 118,433.28
  4. Step 4: Simplify right side
    413,921.28x = 73,531,035,751.22
  5. Step 5: Solve for x
    x = 73,531,035,751.22/413,921.28
  6. Step 6: Final answer
    x = 177,644.98

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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.