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Finding the Fourth Proportional to 470,415.60, 649,229.18 and 279,429.75

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Solution

The fourth proportional to 470,415.60, 649,229.18 and 279,429.75 is: 385,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,415.60 : 649,229.18 = 279,429.75 : x
  2. Step 2: Convert to fraction form
    470,415.60/649,229.18 = 279,429.75/x
  3. Step 3: Cross multiply
    470,415.60x = 649,229.18 × 279,429.75
  4. Step 4: Simplify right side
    470,415.60x = 181,413,946,062.96
  5. Step 5: Solve for x
    x = 181,413,946,062.96/470,415.60
  6. Step 6: Final answer
    x = 385,646.11

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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.