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Finding the Fourth Proportional to 490,593.72, 735,274.98 and 209,780.76

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Solution

The fourth proportional to 490,593.72, 735,274.98 and 209,780.76 is: 314,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,593.72 : 735,274.98 = 209,780.76 : x
  2. Step 2: Convert to fraction form
    490,593.72/735,274.98 = 209,780.76/x
  3. Step 3: Cross multiply
    490,593.72x = 735,274.98 × 209,780.76
  4. Step 4: Simplify right side
    490,593.72x = 154,246,544,113.39
  5. Step 5: Solve for x
    x = 154,246,544,113.39/490,593.72
  6. Step 6: Final answer
    x = 314,407.91

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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.