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Finding the Fourth Proportional to 475,505.51, 655,814.97 and 418,021.92

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Solution

The fourth proportional to 475,505.51, 655,814.97 and 418,021.92 is: 576,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,505.51 : 655,814.97 = 418,021.92 : x
  2. Step 2: Convert to fraction form
    475,505.51/655,814.97 = 418,021.92/x
  3. Step 3: Cross multiply
    475,505.51x = 655,814.97 × 418,021.92
  4. Step 4: Simplify right side
    475,505.51x = 274,145,032,924.14
  5. Step 5: Solve for x
    x = 274,145,032,924.14/475,505.51
  6. Step 6: Final answer
    x = 576,533.88

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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.