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Finding the Fourth Proportional to 315,804.44, 435,811.26 and 172,564.48

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Solution

The fourth proportional to 315,804.44, 435,811.26 and 172,564.48 is: 238,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,804.44 : 435,811.26 = 172,564.48 : x
  2. Step 2: Convert to fraction form
    315,804.44/435,811.26 = 172,564.48/x
  3. Step 3: Cross multiply
    315,804.44x = 435,811.26 × 172,564.48
  4. Step 4: Simplify right side
    315,804.44x = 75,205,543,028.63
  5. Step 5: Solve for x
    x = 75,205,543,028.63/315,804.44
  6. Step 6: Final answer
    x = 238,139.60

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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.