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Finding the Fourth Proportional to 359,854.98, 496,603.89 and 198,709.80

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Solution

The fourth proportional to 359,854.98, 496,603.89 and 198,709.80 is: 274,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,854.98 : 496,603.89 = 198,709.80 : x
  2. Step 2: Convert to fraction form
    359,854.98/496,603.89 = 198,709.80/x
  3. Step 3: Cross multiply
    359,854.98x = 496,603.89 × 198,709.80
  4. Step 4: Simplify right side
    359,854.98x = 98,680,059,661.12
  5. Step 5: Solve for x
    x = 98,680,059,661.12/359,854.98
  6. Step 6: Final answer
    x = 274,221.74

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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.