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Finding the Fourth Proportional to 359,980, 496,772.40 and 201,004

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Solution

The fourth proportional to 359,980, 496,772.40 and 201,004 is: 277,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,980 : 496,772.40 = 201,004 : x
  2. Step 2: Convert to fraction form
    359,980/496,772.40 = 201,004/x
  3. Step 3: Cross multiply
    359,980x = 496,772.40 × 201,004
  4. Step 4: Simplify right side
    359,980x = 99,853,239,489.60
  5. Step 5: Solve for x
    x = 99,853,239,489.60/359,980
  6. Step 6: Final answer
    x = 277,385.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.