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Finding the Fourth Proportional to 359,017.29, 538,348.23 and 209,295.27

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Solution

The fourth proportional to 359,017.29, 538,348.23 and 209,295.27 is: 313,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,017.29 : 538,348.23 = 209,295.27 : x
  2. Step 2: Convert to fraction form
    359,017.29/538,348.23 = 209,295.27/x
  3. Step 3: Cross multiply
    359,017.29x = 538,348.23 × 209,295.27
  4. Step 4: Simplify right side
    359,017.29x = 112,673,738,151.87
  5. Step 5: Solve for x
    x = 112,673,738,151.87/359,017.29
  6. Step 6: Final answer
    x = 313,839.31

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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.