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Finding the Fourth Proportional to 359,792, 496,556.70 and 208,889

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Solution

The fourth proportional to 359,792, 496,556.70 and 208,889 is: 288,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,792 : 496,556.70 = 208,889 : x
  2. Step 2: Convert to fraction form
    359,792/496,556.70 = 208,889/x
  3. Step 3: Cross multiply
    359,792x = 496,556.70 × 208,889
  4. Step 4: Simplify right side
    359,792x = 103,725,232,506.30
  5. Step 5: Solve for x
    x = 103,725,232,506.30/359,792
  6. Step 6: Final answer
    x = 288,292.21

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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.