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Finding the Fourth Proportional to 453,811.60, 626,249.64 and 284,139.28

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Solution

The fourth proportional to 453,811.60, 626,249.64 and 284,139.28 is: 392,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,811.60 : 626,249.64 = 284,139.28 : x
  2. Step 2: Convert to fraction form
    453,811.60/626,249.64 = 284,139.28/x
  3. Step 3: Cross multiply
    453,811.60x = 626,249.64 × 284,139.28
  4. Step 4: Simplify right side
    453,811.60x = 177,942,121,809.86
  5. Step 5: Solve for x
    x = 177,942,121,809.86/453,811.60
  6. Step 6: Final answer
    x = 392,105.71

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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.