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Finding the Fourth Proportional to 490,327.47, 736,598.43 and 290,778.76

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Solution

The fourth proportional to 490,327.47, 736,598.43 and 290,778.76 is: 436,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,327.47 : 736,598.43 = 290,778.76 : x
  2. Step 2: Convert to fraction form
    490,327.47/736,598.43 = 290,778.76/x
  3. Step 3: Cross multiply
    490,327.47x = 736,598.43 × 290,778.76
  4. Step 4: Simplify right side
    490,327.47x = 214,187,179,014.10
  5. Step 5: Solve for x
    x = 214,187,179,014.10/490,327.47
  6. Step 6: Final answer
    x = 436,824.76

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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.