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Finding the Fourth Proportional to 499,572, 689,409.90 and 273,218.04

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Solution

The fourth proportional to 499,572, 689,409.90 and 273,218.04 is: 377,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,572 : 689,409.90 = 273,218.04 : x
  2. Step 2: Convert to fraction form
    499,572/689,409.90 = 273,218.04/x
  3. Step 3: Cross multiply
    499,572x = 689,409.90 × 273,218.04
  4. Step 4: Simplify right side
    499,572x = 188,359,221,634.60
  5. Step 5: Solve for x
    x = 188,359,221,634.60/499,572
  6. Step 6: Final answer
    x = 377,041.19

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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.