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Finding the Fourth Proportional to 359,780.93, 538,811.02 and 207,516.43

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Solution

The fourth proportional to 359,780.93, 538,811.02 and 207,516.43 is: 310,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,780.93 : 538,811.02 = 207,516.43 : x
  2. Step 2: Convert to fraction form
    359,780.93/538,811.02 = 207,516.43/x
  3. Step 3: Cross multiply
    359,780.93x = 538,811.02 × 207,516.43
  4. Step 4: Simplify right side
    359,780.93x = 111,812,137,800.80
  5. Step 5: Solve for x
    x = 111,812,137,800.80/359,780.93
  6. Step 6: Final answer
    x = 310,778.39

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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.