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Finding the Fourth Proportional to 359,971.26, 539,956.89 and 138,199.74

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Solution

The fourth proportional to 359,971.26, 539,956.89 and 138,199.74 is: 207,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,971.26 : 539,956.89 = 138,199.74 : x
  2. Step 2: Convert to fraction form
    359,971.26/539,956.89 = 138,199.74/x
  3. Step 3: Cross multiply
    359,971.26x = 539,956.89 × 138,199.74
  4. Step 4: Simplify right side
    359,971.26x = 74,621,901,809.21
  5. Step 5: Solve for x
    x = 74,621,901,809.21/359,971.26
  6. Step 6: Final answer
    x = 207,299.61

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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.