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Finding the Fourth Proportional to 359,105.40, 538,658.10 and 209,514.60

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Solution

The fourth proportional to 359,105.40, 538,658.10 and 209,514.60 is: 314,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,105.40 : 538,658.10 = 209,514.60 : x
  2. Step 2: Convert to fraction form
    359,105.40/538,658.10 = 209,514.60/x
  3. Step 3: Cross multiply
    359,105.40x = 538,658.10 × 209,514.60
  4. Step 4: Simplify right side
    359,105.40x = 112,856,736,358.26
  5. Step 5: Solve for x
    x = 112,856,736,358.26/359,105.40
  6. Step 6: Final answer
    x = 314,271.90

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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.