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Finding the Fourth Proportional to 475,804.72, 656,511.24 and 322,961.20

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Solution

The fourth proportional to 475,804.72, 656,511.24 and 322,961.20 is: 445,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,804.72 : 656,511.24 = 322,961.20 : x
  2. Step 2: Convert to fraction form
    475,804.72/656,511.24 = 322,961.20/x
  3. Step 3: Cross multiply
    475,804.72x = 656,511.24 × 322,961.20
  4. Step 4: Simplify right side
    475,804.72x = 212,027,657,883.89
  5. Step 5: Solve for x
    x = 212,027,657,883.89/475,804.72
  6. Step 6: Final answer
    x = 445,619.07

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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.