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Finding the Fourth Proportional to 687,907.64, 949,400.13 and 415,977.48

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Solution

The fourth proportional to 687,907.64, 949,400.13 and 415,977.48 is: 574,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,907.64 : 949,400.13 = 415,977.48 : x
  2. Step 2: Convert to fraction form
    687,907.64/949,400.13 = 415,977.48/x
  3. Step 3: Cross multiply
    687,907.64x = 949,400.13 × 415,977.48
  4. Step 4: Simplify right side
    687,907.64x = 394,929,073,589.07
  5. Step 5: Solve for x
    x = 394,929,073,589.07/687,907.64
  6. Step 6: Final answer
    x = 574,101.89

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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.