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Finding the Fourth Proportional to 470,419.60, 649,234.70 and 279,433.76

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Solution

The fourth proportional to 470,419.60, 649,234.70 and 279,433.76 is: 385,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,419.60 : 649,234.70 = 279,433.76 : x
  2. Step 2: Convert to fraction form
    470,419.60/649,234.70 = 279,433.76/x
  3. Step 3: Cross multiply
    470,419.60x = 649,234.70 × 279,433.76
  4. Step 4: Simplify right side
    470,419.60x = 181,418,093,343.47
  5. Step 5: Solve for x
    x = 181,418,093,343.47/470,419.60
  6. Step 6: Final answer
    x = 385,651.65

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1.5x scale

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.