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Finding the Fourth Proportional to 315,774.54, 435,769.25 and 172,534.59

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Solution

The fourth proportional to 315,774.54, 435,769.25 and 172,534.59 is: 238,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,774.54 : 435,769.25 = 172,534.59 : x
  2. Step 2: Convert to fraction form
    315,774.54/435,769.25 = 172,534.59/x
  3. Step 3: Cross multiply
    315,774.54x = 435,769.25 × 172,534.59
  4. Step 4: Simplify right side
    315,774.54x = 75,185,268,883.36
  5. Step 5: Solve for x
    x = 75,185,268,883.36/315,774.54
  6. Step 6: Final answer
    x = 238,097.94

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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.