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Finding the Fourth Proportional to 497,207.14, 686,150.39 and 300,978.14

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Solution

The fourth proportional to 497,207.14, 686,150.39 and 300,978.14 is: 415,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,207.14 : 686,150.39 = 300,978.14 : x
  2. Step 2: Convert to fraction form
    497,207.14/686,150.39 = 300,978.14/x
  3. Step 3: Cross multiply
    497,207.14x = 686,150.39 × 300,978.14
  4. Step 4: Simplify right side
    497,207.14x = 206,516,265,464.17
  5. Step 5: Solve for x
    x = 206,516,265,464.17/497,207.14
  6. Step 6: Final answer
    x = 415,352.58

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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.