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Finding the Fourth Proportional to 499,871.72, 689,824.14 and 273,531.80

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Solution

The fourth proportional to 499,871.72, 689,824.14 and 273,531.80 is: 377,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,871.72 : 689,824.14 = 273,531.80 : x
  2. Step 2: Convert to fraction form
    499,871.72/689,824.14 = 273,531.80/x
  3. Step 3: Cross multiply
    499,871.72x = 689,824.14 × 273,531.80
  4. Step 4: Simplify right side
    499,871.72x = 188,688,838,697.65
  5. Step 5: Solve for x
    x = 188,688,838,697.65/499,871.72
  6. Step 6: Final answer
    x = 377,474.52

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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.