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Finding the Fourth Proportional to 564,522.24, 778,992 and 309,872.64

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Solution

The fourth proportional to 564,522.24, 778,992 and 309,872.64 is: 427,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,522.24 : 778,992 = 309,872.64 : x
  2. Step 2: Convert to fraction form
    564,522.24/778,992 = 309,872.64/x
  3. Step 3: Cross multiply
    564,522.24x = 778,992 × 309,872.64
  4. Step 4: Simplify right side
    564,522.24x = 241,388,307,578.88
  5. Step 5: Solve for x
    x = 241,388,307,578.88/564,522.24
  6. Step 6: Final answer
    x = 427,597.52

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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.