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Finding the Fourth Proportional to 662,811.60, 994,363.20 and 213,553.20

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Solution

The fourth proportional to 662,811.60, 994,363.20 and 213,553.20 is: 320,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,811.60 : 994,363.20 = 213,553.20 : x
  2. Step 2: Convert to fraction form
    662,811.60/994,363.20 = 213,553.20/x
  3. Step 3: Cross multiply
    662,811.60x = 994,363.20 × 213,553.20
  4. Step 4: Simplify right side
    662,811.60x = 212,349,443,322.24
  5. Step 5: Solve for x
    x = 212,349,443,322.24/662,811.60
  6. Step 6: Final answer
    x = 320,376.78

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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.