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Finding the Fourth Proportional to 408,128.18, 610,401.66 and 363,464.51

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Solution

The fourth proportional to 408,128.18, 610,401.66 and 363,464.51 is: 543,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,128.18 : 610,401.66 = 363,464.51 : x
  2. Step 2: Convert to fraction form
    408,128.18/610,401.66 = 363,464.51/x
  3. Step 3: Cross multiply
    408,128.18x = 610,401.66 × 363,464.51
  4. Step 4: Simplify right side
    408,128.18x = 221,859,337,203.08
  5. Step 5: Solve for x
    x = 221,859,337,203.08/408,128.18
  6. Step 6: Final answer
    x = 543,602.11

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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.