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Finding the Fourth Proportional to 557,447.67, 769,274.33 and 302,796.63

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Solution

The fourth proportional to 557,447.67, 769,274.33 and 302,796.63 is: 417,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,447.67 : 769,274.33 = 302,796.63 : x
  2. Step 2: Convert to fraction form
    557,447.67/769,274.33 = 302,796.63/x
  3. Step 3: Cross multiply
    557,447.67x = 769,274.33 × 302,796.63
  4. Step 4: Simplify right side
    557,447.67x = 232,933,673,155.53
  5. Step 5: Solve for x
    x = 232,933,673,155.53/557,447.67
  6. Step 6: Final answer
    x = 417,857.47

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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.