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Finding the Fourth Proportional to 499,761.14, 689,686.98 and 273,406.64

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Solution

The fourth proportional to 499,761.14, 689,686.98 and 273,406.64 is: 377,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,761.14 : 689,686.98 = 273,406.64 : x
  2. Step 2: Convert to fraction form
    499,761.14/689,686.98 = 273,406.64/x
  3. Step 3: Cross multiply
    499,761.14x = 689,686.98 × 273,406.64
  4. Step 4: Simplify right side
    499,761.14x = 188,564,999,853.55
  5. Step 5: Solve for x
    x = 188,564,999,853.55/499,761.14
  6. Step 6: Final answer
    x = 377,310.25

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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.