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Finding the Fourth Proportional to 359,205.48, 539,017.43 and 199,415.12

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Solution

The fourth proportional to 359,205.48, 539,017.43 and 199,415.12 is: 299,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,205.48 : 539,017.43 = 199,415.12 : x
  2. Step 2: Convert to fraction form
    359,205.48/539,017.43 = 199,415.12/x
  3. Step 3: Cross multiply
    359,205.48x = 539,017.43 × 199,415.12
  4. Step 4: Simplify right side
    359,205.48x = 107,488,221,793.38
  5. Step 5: Solve for x
    x = 107,488,221,793.38/359,205.48
  6. Step 6: Final answer
    x = 299,238.81

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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.