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Finding the Fourth Proportional to 359,205.81, 539,018.77 and 199,416.30

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Solution

The fourth proportional to 359,205.81, 539,018.77 and 199,416.30 is: 299,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,205.81 : 539,018.77 = 199,416.30 : x
  2. Step 2: Convert to fraction form
    359,205.81/539,018.77 = 199,416.30/x
  3. Step 3: Cross multiply
    359,205.81x = 539,018.77 × 199,416.30
  4. Step 4: Simplify right side
    359,205.81x = 107,489,128,743.95
  5. Step 5: Solve for x
    x = 107,489,128,743.95/359,205.81
  6. Step 6: Final answer
    x = 299,241.06

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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.