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Finding the Fourth Proportional to 664,009.76, 916,322.64 and 377,523.70

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Solution

The fourth proportional to 664,009.76, 916,322.64 and 377,523.70 is: 520,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,009.76 : 916,322.64 = 377,523.70 : x
  2. Step 2: Convert to fraction form
    664,009.76/916,322.64 = 377,523.70/x
  3. Step 3: Cross multiply
    664,009.76x = 916,322.64 × 377,523.70
  4. Step 4: Simplify right side
    664,009.76x = 345,933,513,446.57
  5. Step 5: Solve for x
    x = 345,933,513,446.57/664,009.76
  6. Step 6: Final answer
    x = 520,976.55

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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.