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Finding the Fourth Proportional to 407,757.28, 611,605.68 and 171,090.40

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Solution

The fourth proportional to 407,757.28, 611,605.68 and 171,090.40 is: 256,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,757.28 : 611,605.68 = 171,090.40 : x
  2. Step 2: Convert to fraction form
    407,757.28/611,605.68 = 171,090.40/x
  3. Step 3: Cross multiply
    407,757.28x = 611,605.68 × 171,090.40
  4. Step 4: Simplify right side
    407,757.28x = 104,639,860,433.47
  5. Step 5: Solve for x
    x = 104,639,860,433.47/407,757.28
  6. Step 6: Final answer
    x = 256,622.91

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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.