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Finding the Fourth Proportional to 470,757.60, 649,699.92 and 279,769.32

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Solution

The fourth proportional to 470,757.60, 649,699.92 and 279,769.32 is: 386,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,757.60 : 649,699.92 = 279,769.32 : x
  2. Step 2: Convert to fraction form
    470,757.60/649,699.92 = 279,769.32/x
  3. Step 3: Cross multiply
    470,757.60x = 649,699.92 × 279,769.32
  4. Step 4: Simplify right side
    470,757.60x = 181,766,104,822.45
  5. Step 5: Solve for x
    x = 181,766,104,822.45/470,757.60
  6. Step 6: Final answer
    x = 386,114.01

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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.