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Finding the Fourth Proportional to 413,729.80, 620,901.90 and 164,590.60

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Solution

The fourth proportional to 413,729.80, 620,901.90 and 164,590.60 is: 247,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,729.80 : 620,901.90 = 164,590.60 : x
  2. Step 2: Convert to fraction form
    413,729.80/620,901.90 = 164,590.60/x
  3. Step 3: Cross multiply
    413,729.80x = 620,901.90 × 164,590.60
  4. Step 4: Simplify right side
    413,729.80x = 102,194,616,262.14
  5. Step 5: Solve for x
    x = 102,194,616,262.14/413,729.80
  6. Step 6: Final answer
    x = 247,008.11

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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.