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Finding the Fourth Proportional to 427,020.84, 588,907.01 and 354,308.56

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Solution

The fourth proportional to 427,020.84, 588,907.01 and 354,308.56 is: 488,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,020.84 : 588,907.01 = 354,308.56 : x
  2. Step 2: Convert to fraction form
    427,020.84/588,907.01 = 354,308.56/x
  3. Step 3: Cross multiply
    427,020.84x = 588,907.01 × 354,308.56
  4. Step 4: Simplify right side
    427,020.84x = 208,654,794,100.51
  5. Step 5: Solve for x
    x = 208,654,794,100.51/427,020.84
  6. Step 6: Final answer
    x = 488,629.07

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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.