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Finding the Fourth Proportional to 521,671.76, 719,896.20 and 283,207.76

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Solution

The fourth proportional to 521,671.76, 719,896.20 and 283,207.76 is: 390,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,671.76 : 719,896.20 = 283,207.76 : x
  2. Step 2: Convert to fraction form
    521,671.76/719,896.20 = 283,207.76/x
  3. Step 3: Cross multiply
    521,671.76x = 719,896.20 × 283,207.76
  4. Step 4: Simplify right side
    521,671.76x = 203,880,190,234.51
  5. Step 5: Solve for x
    x = 203,880,190,234.51/521,671.76
  6. Step 6: Final answer
    x = 390,820.83

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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.