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Finding the Fourth Proportional to 521,971.84, 782,398.05 and 341,989.30

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Solution

The fourth proportional to 521,971.84, 782,398.05 and 341,989.30 is: 512,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,971.84 : 782,398.05 = 341,989.30 : x
  2. Step 2: Convert to fraction form
    521,971.84/782,398.05 = 341,989.30/x
  3. Step 3: Cross multiply
    521,971.84x = 782,398.05 × 341,989.30
  4. Step 4: Simplify right side
    521,971.84x = 267,571,761,440.87
  5. Step 5: Solve for x
    x = 267,571,761,440.87/521,971.84
  6. Step 6: Final answer
    x = 512,617.24

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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.