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Finding the Fourth Proportional to 431,999.10, 647,998.65 and 313,112.70

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Solution

The fourth proportional to 431,999.10, 647,998.65 and 313,112.70 is: 469,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.10 : 647,998.65 = 313,112.70 : x
  2. Step 2: Convert to fraction form
    431,999.10/647,998.65 = 313,112.70/x
  3. Step 3: Cross multiply
    431,999.10x = 647,998.65 × 313,112.70
  4. Step 4: Simplify right side
    431,999.10x = 202,896,606,897.86
  5. Step 5: Solve for x
    x = 202,896,606,897.86/431,999.10
  6. Step 6: Final answer
    x = 469,669.05

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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.