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Finding the Fourth Proportional to 359,926.84, 496,689.53 and 198,778.42

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Solution

The fourth proportional to 359,926.84, 496,689.53 and 198,778.42 is: 274,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,926.84 : 496,689.53 = 198,778.42 : x
  2. Step 2: Convert to fraction form
    359,926.84/496,689.53 = 198,778.42/x
  3. Step 3: Cross multiply
    359,926.84x = 496,689.53 × 198,778.42
  4. Step 4: Simplify right side
    359,926.84x = 98,731,159,259.16
  5. Step 5: Solve for x
    x = 98,731,159,259.16/359,926.84
  6. Step 6: Final answer
    x = 274,308.97

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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.