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Finding the Fourth Proportional to 470,494.38, 649,209.15 and 279,502.86

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Solution

The fourth proportional to 470,494.38, 649,209.15 and 279,502.86 is: 385,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,494.38 : 649,209.15 = 279,502.86 : x
  2. Step 2: Convert to fraction form
    470,494.38/649,209.15 = 279,502.86/x
  3. Step 3: Cross multiply
    470,494.38x = 649,209.15 × 279,502.86
  4. Step 4: Simplify right side
    470,494.38x = 181,455,814,163.17
  5. Step 5: Solve for x
    x = 181,455,814,163.17/470,494.38
  6. Step 6: Final answer
    x = 385,670.52

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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.