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Finding the Fourth Proportional to 557,442.34, 769,272.36 and 328,008.40

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Solution

The fourth proportional to 557,442.34, 769,272.36 and 328,008.40 is: 452,652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,442.34 : 769,272.36 = 328,008.40 : x
  2. Step 2: Convert to fraction form
    557,442.34/769,272.36 = 328,008.40/x
  3. Step 3: Cross multiply
    557,442.34x = 769,272.36 × 328,008.40
  4. Step 4: Simplify right side
    557,442.34x = 252,327,795,967.82
  5. Step 5: Solve for x
    x = 252,327,795,967.82/557,442.34
  6. Step 6: Final answer
    x = 452,652.73

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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.