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Finding the Fourth Proportional to 680,742, 939,423.96 and 378,955.44

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Solution

The fourth proportional to 680,742, 939,423.96 and 378,955.44 is: 522,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,742 : 939,423.96 = 378,955.44 : x
  2. Step 2: Convert to fraction form
    680,742/939,423.96 = 378,955.44/x
  3. Step 3: Cross multiply
    680,742x = 939,423.96 × 378,955.44
  4. Step 4: Simplify right side
    680,742x = 355,999,820,108.34
  5. Step 5: Solve for x
    x = 355,999,820,108.34/680,742
  6. Step 6: Final answer
    x = 522,958.51

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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.