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Finding the Fourth Proportional to 407,651.60, 562,163.28 and 316,847.36

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Solution

The fourth proportional to 407,651.60, 562,163.28 and 316,847.36 is: 436,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,651.60 : 562,163.28 = 316,847.36 : x
  2. Step 2: Convert to fraction form
    407,651.60/562,163.28 = 316,847.36/x
  3. Step 3: Cross multiply
    407,651.60x = 562,163.28 × 316,847.36
  4. Step 4: Simplify right side
    407,651.60x = 178,119,951,156.94
  5. Step 5: Solve for x
    x = 178,119,951,156.94/407,651.60
  6. Step 6: Final answer
    x = 436,941.62

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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.