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Finding the Fourth Proportional to 360,738.76, 497,897.94 and 209,855.56

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Solution

The fourth proportional to 360,738.76, 497,897.94 and 209,855.56 is: 289,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,738.76 : 497,897.94 = 209,855.56 : x
  2. Step 2: Convert to fraction form
    360,738.76/497,897.94 = 209,855.56/x
  3. Step 3: Cross multiply
    360,738.76x = 497,897.94 × 209,855.56
  4. Step 4: Simplify right side
    360,738.76x = 104,486,651,021.55
  5. Step 5: Solve for x
    x = 104,486,651,021.55/360,738.76
  6. Step 6: Final answer
    x = 289,646.31

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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.