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Finding the Fourth Proportional to 359,551.40, 496,279.62 and 208,697

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Solution

The fourth proportional to 359,551.40, 496,279.62 and 208,697 is: 288,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,551.40 : 496,279.62 = 208,697 : x
  2. Step 2: Convert to fraction form
    359,551.40/496,279.62 = 208,697/x
  3. Step 3: Cross multiply
    359,551.40x = 496,279.62 × 208,697
  4. Step 4: Simplify right side
    359,551.40x = 103,572,067,855.14
  5. Step 5: Solve for x
    x = 103,572,067,855.14/359,551.40
  6. Step 6: Final answer
    x = 288,059.14

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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.