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Finding the Fourth Proportional to 418,402.98, 577,402.66 and 227,416.86

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Solution

The fourth proportional to 418,402.98, 577,402.66 and 227,416.86 is: 313,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,402.98 : 577,402.66 = 227,416.86 : x
  2. Step 2: Convert to fraction form
    418,402.98/577,402.66 = 227,416.86/x
  3. Step 3: Cross multiply
    418,402.98x = 577,402.66 × 227,416.86
  4. Step 4: Simplify right side
    418,402.98x = 131,311,099,892.85
  5. Step 5: Solve for x
    x = 131,311,099,892.85/418,402.98
  6. Step 6: Final answer
    x = 313,838.83

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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.