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Finding the Fourth Proportional to 291,891.31, 402,804.66 and 164,567.05

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Solution

The fourth proportional to 291,891.31, 402,804.66 and 164,567.05 is: 227,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,891.31 : 402,804.66 = 164,567.05 : x
  2. Step 2: Convert to fraction form
    291,891.31/402,804.66 = 164,567.05/x
  3. Step 3: Cross multiply
    291,891.31x = 402,804.66 × 164,567.05
  4. Step 4: Simplify right side
    291,891.31x = 66,288,374,622.45
  5. Step 5: Solve for x
    x = 66,288,374,622.45/291,891.31
  6. Step 6: Final answer
    x = 227,099.51

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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.