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Finding the Fourth Proportional to 413,560.96, 620,341.71 and 133,078.21

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Solution

The fourth proportional to 413,560.96, 620,341.71 and 133,078.21 is: 199,617.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,560.96 : 620,341.71 = 133,078.21 : x
  2. Step 2: Convert to fraction form
    413,560.96/620,341.71 = 133,078.21/x
  3. Step 3: Cross multiply
    413,560.96x = 620,341.71 × 133,078.21
  4. Step 4: Simplify right side
    413,560.96x = 82,553,964,355.14
  5. Step 5: Solve for x
    x = 82,553,964,355.14/413,560.96
  6. Step 6: Final answer
    x = 199,617.40

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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.