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Finding the Fourth Proportional to 499,713.71, 689,446.59 and 305,918.78

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Solution

The fourth proportional to 499,713.71, 689,446.59 and 305,918.78 is: 422,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,713.71 : 689,446.59 = 305,918.78 : x
  2. Step 2: Convert to fraction form
    499,713.71/689,446.59 = 305,918.78/x
  3. Step 3: Cross multiply
    499,713.71x = 689,446.59 × 305,918.78
  4. Step 4: Simplify right side
    499,713.71x = 210,914,655,093.53
  5. Step 5: Solve for x
    x = 210,914,655,093.53/499,713.71
  6. Step 6: Final answer
    x = 422,070.98

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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.