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Finding the Fourth Proportional to 470,989.86, 649,737.39 and 279,867.90

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Solution

The fourth proportional to 470,989.86, 649,737.39 and 279,867.90 is: 386,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,989.86 : 649,737.39 = 279,867.90 : x
  2. Step 2: Convert to fraction form
    470,989.86/649,737.39 = 279,867.90/x
  3. Step 3: Cross multiply
    470,989.86x = 649,737.39 × 279,867.90
  4. Step 4: Simplify right side
    470,989.86x = 181,840,638,890.78
  5. Step 5: Solve for x
    x = 181,840,638,890.78/470,989.86
  6. Step 6: Final answer
    x = 386,081.86

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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.