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Finding the Fourth Proportional to 941,388.32, 1,411,289 and 408,508

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Solution

The fourth proportional to 941,388.32, 1,411,289 and 408,508 is: 612,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,388.32 : 1,411,289 = 408,508 : x
  2. Step 2: Convert to fraction form
    941,388.32/1,411,289 = 408,508/x
  3. Step 3: Cross multiply
    941,388.32x = 1,411,289 × 408,508
  4. Step 4: Simplify right side
    941,388.32x = 576,522,846,812
  5. Step 5: Solve for x
    x = 576,522,846,812/941,388.32
  6. Step 6: Final answer
    x = 612,417.68

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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.