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Finding the Fourth Proportional to 650,442.27, 975,663.42 and 428,774.43

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Solution

The fourth proportional to 650,442.27, 975,663.42 and 428,774.43 is: 643,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,442.27 : 975,663.42 = 428,774.43 : x
  2. Step 2: Convert to fraction form
    650,442.27/975,663.42 = 428,774.43/x
  3. Step 3: Cross multiply
    650,442.27x = 975,663.42 × 428,774.43
  4. Step 4: Simplify right side
    650,442.27x = 418,339,526,782.35
  5. Step 5: Solve for x
    x = 418,339,526,782.35/650,442.27
  6. Step 6: Final answer
    x = 643,161.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.