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Finding the Fourth Proportional to 619,311.40, 928,744.14 and 214,393.48

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Solution

The fourth proportional to 619,311.40, 928,744.14 and 214,393.48 is: 321,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,311.40 : 928,744.14 = 214,393.48 : x
  2. Step 2: Convert to fraction form
    619,311.40/928,744.14 = 214,393.48/x
  3. Step 3: Cross multiply
    619,311.40x = 928,744.14 × 214,393.48
  4. Step 4: Simplify right side
    619,311.40x = 199,116,688,204.21
  5. Step 5: Solve for x
    x = 199,116,688,204.21/619,311.40
  6. Step 6: Final answer
    x = 321,513.04

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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.