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Finding the Fourth Proportional to 490,186.60, 734,502.30 and 323,780.20

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Solution

The fourth proportional to 490,186.60, 734,502.30 and 323,780.20 is: 485,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,186.60 : 734,502.30 = 323,780.20 : x
  2. Step 2: Convert to fraction form
    490,186.60/734,502.30 = 323,780.20/x
  3. Step 3: Cross multiply
    490,186.60x = 734,502.30 × 323,780.20
  4. Step 4: Simplify right side
    490,186.60x = 237,817,301,594.46
  5. Step 5: Solve for x
    x = 237,817,301,594.46/490,186.60
  6. Step 6: Final answer
    x = 485,156.68

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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.