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Finding the Fourth Proportional to 359,815.80, 538,686.90 and 219,847.80

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Solution

The fourth proportional to 359,815.80, 538,686.90 and 219,847.80 is: 329,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,815.80 : 538,686.90 = 219,847.80 : x
  2. Step 2: Convert to fraction form
    359,815.80/538,686.90 = 219,847.80/x
  3. Step 3: Cross multiply
    359,815.80x = 538,686.90 × 219,847.80
  4. Step 4: Simplify right side
    359,815.80x = 118,429,129,853.82
  5. Step 5: Solve for x
    x = 118,429,129,853.82/359,815.80
  6. Step 6: Final answer
    x = 329,138.21

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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.