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Finding the Fourth Proportional to 470,416.35, 649,230.21 and 279,430.50

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Solution

The fourth proportional to 470,416.35, 649,230.21 and 279,430.50 is: 385,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,416.35 : 649,230.21 = 279,430.50 : x
  2. Step 2: Convert to fraction form
    470,416.35/649,230.21 = 279,430.50/x
  3. Step 3: Cross multiply
    470,416.35x = 649,230.21 × 279,430.50
  4. Step 4: Simplify right side
    470,416.35x = 181,414,722,195.41
  5. Step 5: Solve for x
    x = 181,414,722,195.41/470,416.35
  6. Step 6: Final answer
    x = 385,647.14

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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.