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Finding the Fourth Proportional to 359,913.69, 496,680.89 and 209,020.41

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Solution

The fourth proportional to 359,913.69, 496,680.89 and 209,020.41 is: 288,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,913.69 : 496,680.89 = 209,020.41 : x
  2. Step 2: Convert to fraction form
    359,913.69/496,680.89 = 209,020.41/x
  3. Step 3: Cross multiply
    359,913.69x = 496,680.89 × 209,020.41
  4. Step 4: Simplify right side
    359,913.69x = 103,816,443,266.97
  5. Step 5: Solve for x
    x = 103,816,443,266.97/359,913.69
  6. Step 6: Final answer
    x = 288,448.16

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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.