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Finding the Fourth Proportional to 291,090.46, 436,610.67 and 177,208.71

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Solution

The fourth proportional to 291,090.46, 436,610.67 and 177,208.71 is: 265,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,090.46 : 436,610.67 = 177,208.71 : x
  2. Step 2: Convert to fraction form
    291,090.46/436,610.67 = 177,208.71/x
  3. Step 3: Cross multiply
    291,090.46x = 436,610.67 × 177,208.71
  4. Step 4: Simplify right side
    291,090.46x = 77,371,213,602.94
  5. Step 5: Solve for x
    x = 77,371,213,602.94/291,090.46
  6. Step 6: Final answer
    x = 265,797.83

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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.