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Finding the Fourth Proportional to 470,745.78, 649,723.68 and 279,722.22

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Solution

The fourth proportional to 470,745.78, 649,723.68 and 279,722.22 is: 386,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,745.78 : 649,723.68 = 279,722.22 : x
  2. Step 2: Convert to fraction form
    470,745.78/649,723.68 = 279,722.22/x
  3. Step 3: Cross multiply
    470,745.78x = 649,723.68 × 279,722.22
  4. Step 4: Simplify right side
    470,745.78x = 181,742,150,156.17
  5. Step 5: Solve for x
    x = 181,742,150,156.17/470,745.78
  6. Step 6: Final answer
    x = 386,072.82

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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.