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Finding the Fourth Proportional to 432,009.86, 647,078.83 and 313,419.38

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Solution

The fourth proportional to 432,009.86, 647,078.83 and 313,419.38 is: 469,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,009.86 : 647,078.83 = 313,419.38 : x
  2. Step 2: Convert to fraction form
    432,009.86/647,078.83 = 313,419.38/x
  3. Step 3: Cross multiply
    432,009.86x = 647,078.83 × 313,419.38
  4. Step 4: Simplify right side
    432,009.86x = 202,807,041,690.78
  5. Step 5: Solve for x
    x = 202,807,041,690.78/432,009.86
  6. Step 6: Final answer
    x = 469,450.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.