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Finding the Fourth Proportional to 471,035.64, 649,800.54 and 279,913.44

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Solution

The fourth proportional to 471,035.64, 649,800.54 and 279,913.44 is: 386,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,035.64 : 649,800.54 = 279,913.44 : x
  2. Step 2: Convert to fraction form
    471,035.64/649,800.54 = 279,913.44/x
  3. Step 3: Cross multiply
    471,035.64x = 649,800.54 × 279,913.44
  4. Step 4: Simplify right side
    471,035.64x = 181,887,904,465.26
  5. Step 5: Solve for x
    x = 181,887,904,465.26/471,035.64
  6. Step 6: Final answer
    x = 386,144.68

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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.