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Finding the Fourth Proportional to 359,791, 496,555.32 and 208,888

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Solution

The fourth proportional to 359,791, 496,555.32 and 208,888 is: 288,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,791 : 496,555.32 = 208,888 : x
  2. Step 2: Convert to fraction form
    359,791/496,555.32 = 208,888/x
  3. Step 3: Cross multiply
    359,791x = 496,555.32 × 208,888
  4. Step 4: Simplify right side
    359,791x = 103,724,447,684.16
  5. Step 5: Solve for x
    x = 103,724,447,684.16/359,791
  6. Step 6: Final answer
    x = 288,290.83

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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.