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Finding the Fourth Proportional to 557,442.42, 769,267.14 and 302,791.38

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Solution

The fourth proportional to 557,442.42, 769,267.14 and 302,791.38 is: 417,850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,442.42 : 769,267.14 = 302,791.38 : x
  2. Step 2: Convert to fraction form
    557,442.42/769,267.14 = 302,791.38/x
  3. Step 3: Cross multiply
    557,442.42x = 769,267.14 × 302,791.38
  4. Step 4: Simplify right side
    557,442.42x = 232,927,458,909.25
  5. Step 5: Solve for x
    x = 232,927,458,909.25/557,442.42
  6. Step 6: Final answer
    x = 417,850.26

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1.5x scale

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.