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Finding the Fourth Proportional to 359,811.88, 496,584.13 and 208,908.88

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Solution

The fourth proportional to 359,811.88, 496,584.13 and 208,908.88 is: 288,319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,811.88 : 496,584.13 = 208,908.88 : x
  2. Step 2: Convert to fraction form
    359,811.88/496,584.13 = 208,908.88/x
  3. Step 3: Cross multiply
    359,811.88x = 496,584.13 × 208,908.88
  4. Step 4: Simplify right side
    359,811.88x = 103,740,834,424.07
  5. Step 5: Solve for x
    x = 103,740,834,424.07/359,811.88
  6. Step 6: Final answer
    x = 288,319.65

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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.